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Finding the Third Proportional to 861,829.88 and 1,304,742.94

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Solution

The third proportional to 861,829.88 and 1,304,742.94 is: 1,975,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,829.88 : 1,304,742.94 = 1,304,742.94 : x
  2. Step 2: Convert to fraction form
    861,829.88/1,304,742.94 = 1,304,742.94/x
  3. Step 3: Cross multiply
    861,829.88x = 1,304,742.94 × 1,304,742.94
  4. Step 4: Simplify right side
    861,829.88x = 1,702,354,132,956.13
  5. Step 5: Solve for x
    x = 1,702,354,132,956.13/861,829.88
  6. Step 6: Final answer
    x = 1,975,278.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.