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Finding the Third Proportional to 713,684 and 1,538,776

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Solution

The third proportional to 713,684 and 1,538,776 is: 3,317,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,684 : 1,538,776 = 1,538,776 : x
  2. Step 2: Convert to fraction form
    713,684/1,538,776 = 1,538,776/x
  3. Step 3: Cross multiply
    713,684x = 1,538,776 × 1,538,776
  4. Step 4: Simplify right side
    713,684x = 2,367,831,578,176
  5. Step 5: Solve for x
    x = 2,367,831,578,176/713,684
  6. Step 6: Final answer
    x = 3,317,759.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.