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Finding the Third Proportional to 403,597 and 885,915

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Solution

The third proportional to 403,597 and 885,915 is: 1,944,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,597 : 885,915 = 885,915 : x
  2. Step 2: Convert to fraction form
    403,597/885,915 = 885,915/x
  3. Step 3: Cross multiply
    403,597x = 885,915 × 885,915
  4. Step 4: Simplify right side
    403,597x = 784,845,387,225
  5. Step 5: Solve for x
    x = 784,845,387,225/403,597
  6. Step 6: Final answer
    x = 1,944,626.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.