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Finding the Third Proportional to 415,566 and 971,118

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Solution

The third proportional to 415,566 and 971,118 is: 2,269,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,566 : 971,118 = 971,118 : x
  2. Step 2: Convert to fraction form
    415,566/971,118 = 971,118/x
  3. Step 3: Cross multiply
    415,566x = 971,118 × 971,118
  4. Step 4: Simplify right side
    415,566x = 943,070,169,924
  5. Step 5: Solve for x
    x = 943,070,169,924/415,566
  6. Step 6: Final answer
    x = 2,269,363.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.