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Finding the Third Proportional to 713,132.86 and 1,557,276.89

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Solution

The third proportional to 713,132.86 and 1,557,276.89 is: 3,400,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,132.86 : 1,557,276.89 = 1,557,276.89 : x
  2. Step 2: Convert to fraction form
    713,132.86/1,557,276.89 = 1,557,276.89/x
  3. Step 3: Cross multiply
    713,132.86x = 1,557,276.89 × 1,557,276.89
  4. Step 4: Simplify right side
    713,132.86x = 2,425,111,314,074.67
  5. Step 5: Solve for x
    x = 2,425,111,314,074.67/713,132.86
  6. Step 6: Final answer
    x = 3,400,644.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.