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Finding the Third Proportional to 1,299,489.75 and 1,999,981.13

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Solution

The third proportional to 1,299,489.75 and 1,999,981.13 is: 3,078,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,489.75 : 1,999,981.13 = 1,999,981.13 : x
  2. Step 2: Convert to fraction form
    1,299,489.75/1,999,981.13 = 1,999,981.13/x
  3. Step 3: Cross multiply
    1,299,489.75x = 1,999,981.13 × 1,999,981.13
  4. Step 4: Simplify right side
    1,299,489.75x = 3,999,924,500,356.27
  5. Step 5: Solve for x
    x = 3,999,924,500,356.27/1,299,489.75
  6. Step 6: Final answer
    x = 3,078,073.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.