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Finding the Third Proportional to 1,170,599,420 and 1,594,428,060

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Solution

The third proportional to 1,170,599,420 and 1,594,428,060 is: 2,171,708,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,599,420 : 1,594,428,060 = 1,594,428,060 : x
  2. Step 2: Convert to fraction form
    1,170,599,420/1,594,428,060 = 1,594,428,060/x
  3. Step 3: Cross multiply
    1,170,599,420x = 1,594,428,060 × 1,594,428,060
  4. Step 4: Simplify right side
    1,170,599,420x = 2,542,200,838,515,363,840
  5. Step 5: Solve for x
    x = 2,542,200,838,515,363,840/1,170,599,420
  6. Step 6: Final answer
    x = 2,171,708,609.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.