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Finding the Third Proportional to 557,787 and 1,148,586

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Solution

The third proportional to 557,787 and 1,148,586 is: 2,365,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,787 : 1,148,586 = 1,148,586 : x
  2. Step 2: Convert to fraction form
    557,787/1,148,586 = 1,148,586/x
  3. Step 3: Cross multiply
    557,787x = 1,148,586 × 1,148,586
  4. Step 4: Simplify right side
    557,787x = 1,319,249,799,396
  5. Step 5: Solve for x
    x = 1,319,249,799,396/557,787
  6. Step 6: Final answer
    x = 2,365,149.78

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.