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Finding the Third Proportional to 785,127 and 1,245,273

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Solution

The third proportional to 785,127 and 1,245,273 is: 1,975,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,127 : 1,245,273 = 1,245,273 : x
  2. Step 2: Convert to fraction form
    785,127/1,245,273 = 1,245,273/x
  3. Step 3: Cross multiply
    785,127x = 1,245,273 × 1,245,273
  4. Step 4: Simplify right side
    785,127x = 1,550,704,844,529
  5. Step 5: Solve for x
    x = 1,550,704,844,529/785,127
  6. Step 6: Final answer
    x = 1,975,100.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.