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Finding the Third Proportional to 410,073 and 887,537

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Solution

The third proportional to 410,073 and 887,537 is: 1,920,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,073 : 887,537 = 887,537 : x
  2. Step 2: Convert to fraction form
    410,073/887,537 = 887,537/x
  3. Step 3: Cross multiply
    410,073x = 887,537 × 887,537
  4. Step 4: Simplify right side
    410,073x = 787,721,926,369
  5. Step 5: Solve for x
    x = 787,721,926,369/410,073
  6. Step 6: Final answer
    x = 1,920,930.97

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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.