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Finding the Third Proportional to 711,702 and 1,535,508

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Solution

The third proportional to 711,702 and 1,535,508 is: 3,312,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,702 : 1,535,508 = 1,535,508 : x
  2. Step 2: Convert to fraction form
    711,702/1,535,508 = 1,535,508/x
  3. Step 3: Cross multiply
    711,702x = 1,535,508 × 1,535,508
  4. Step 4: Simplify right side
    711,702x = 2,357,784,818,064
  5. Step 5: Solve for x
    x = 2,357,784,818,064/711,702
  6. Step 6: Final answer
    x = 3,312,882.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.