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Finding the Third Proportional to 853,782 and 1,142,487

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Solution

The third proportional to 853,782 and 1,142,487 is: 1,528,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,782 : 1,142,487 = 1,142,487 : x
  2. Step 2: Convert to fraction form
    853,782/1,142,487 = 1,142,487/x
  3. Step 3: Cross multiply
    853,782x = 1,142,487 × 1,142,487
  4. Step 4: Simplify right side
    853,782x = 1,305,276,545,169
  5. Step 5: Solve for x
    x = 1,305,276,545,169/853,782
  6. Step 6: Final answer
    x = 1,528,817.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.