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Finding the Third Proportional to 498,300,324.19 and 1,067,676,302.25

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Solution

The third proportional to 498,300,324.19 and 1,067,676,302.25 is: 2,287,641,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,300,324.19 : 1,067,676,302.25 = 1,067,676,302.25 : x
  2. Step 2: Convert to fraction form
    498,300,324.19/1,067,676,302.25 = 1,067,676,302.25/x
  3. Step 3: Cross multiply
    498,300,324.19x = 1,067,676,302.25 × 1,067,676,302.25
  4. Step 4: Simplify right side
    498,300,324.19x = 1,139,932,686,386,233,344
  5. Step 5: Solve for x
    x = 1,139,932,686,386,233,344/498,300,324.19
  6. Step 6: Final answer
    x = 2,287,641,871.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.