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Finding the Third Proportional to 647,281.13 and 1,362,801.38

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Solution

The third proportional to 647,281.13 and 1,362,801.38 is: 2,869,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,281.13 : 1,362,801.38 = 1,362,801.38 : x
  2. Step 2: Convert to fraction form
    647,281.13/1,362,801.38 = 1,362,801.38/x
  3. Step 3: Cross multiply
    647,281.13x = 1,362,801.38 × 1,362,801.38
  4. Step 4: Simplify right side
    647,281.13x = 1,857,227,587,701.89
  5. Step 5: Solve for x
    x = 1,857,227,587,701.89/647,281.13
  6. Step 6: Final answer
    x = 2,869,275.06

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.