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Finding the Third Proportional to 589,773,983.25 and 915,736,542.75

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Solution

The third proportional to 589,773,983.25 and 915,736,542.75 is: 1,421,855,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,773,983.25 : 915,736,542.75 = 915,736,542.75 : x
  2. Step 2: Convert to fraction form
    589,773,983.25/915,736,542.75 = 915,736,542.75/x
  3. Step 3: Cross multiply
    589,773,983.25x = 915,736,542.75 × 915,736,542.75
  4. Step 4: Simplify right side
    589,773,983.25x = 838,573,415,727,722,624
  5. Step 5: Solve for x
    x = 838,573,415,727,722,624/589,773,983.25
  6. Step 6: Final answer
    x = 1,421,855,557.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.