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Finding the Third Proportional to 1,022,182 and 1,587,294

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Solution

The third proportional to 1,022,182 and 1,587,294 is: 2,464,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,182 : 1,587,294 = 1,587,294 : x
  2. Step 2: Convert to fraction form
    1,022,182/1,587,294 = 1,587,294/x
  3. Step 3: Cross multiply
    1,022,182x = 1,587,294 × 1,587,294
  4. Step 4: Simplify right side
    1,022,182x = 2,519,502,242,436
  5. Step 5: Solve for x
    x = 2,519,502,242,436/1,022,182
  6. Step 6: Final answer
    x = 2,464,827.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.