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Finding the Third Proportional to 713,218 and 1,538,788

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Solution

The third proportional to 713,218 and 1,538,788 is: 3,319,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,218 : 1,538,788 = 1,538,788 : x
  2. Step 2: Convert to fraction form
    713,218/1,538,788 = 1,538,788/x
  3. Step 3: Cross multiply
    713,218x = 1,538,788 × 1,538,788
  4. Step 4: Simplify right side
    713,218x = 2,367,868,508,944
  5. Step 5: Solve for x
    x = 2,367,868,508,944/713,218
  6. Step 6: Final answer
    x = 3,319,978.62

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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.