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Finding the Third Proportional to 1,307,387.25 and 2,824,849.13

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Solution

The third proportional to 1,307,387.25 and 2,824,849.13 is: 6,103,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,387.25 : 2,824,849.13 = 2,824,849.13 : x
  2. Step 2: Convert to fraction form
    1,307,387.25/2,824,849.13 = 2,824,849.13/x
  3. Step 3: Cross multiply
    1,307,387.25x = 2,824,849.13 × 2,824,849.13
  4. Step 4: Simplify right side
    1,307,387.25x = 7,979,772,579,013.27
  5. Step 5: Solve for x
    x = 7,979,772,579,013.27/1,307,387.25
  6. Step 6: Final answer
    x = 6,103,602.88

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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.