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Finding the Third Proportional to 743,708 and 1,531,432

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Solution

The third proportional to 743,708 and 1,531,432 is: 3,153,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,708 : 1,531,432 = 1,531,432 : x
  2. Step 2: Convert to fraction form
    743,708/1,531,432 = 1,531,432/x
  3. Step 3: Cross multiply
    743,708x = 1,531,432 × 1,531,432
  4. Step 4: Simplify right side
    743,708x = 2,345,283,970,624
  5. Step 5: Solve for x
    x = 2,345,283,970,624/743,708
  6. Step 6: Final answer
    x = 3,153,501.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.