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Finding the Third Proportional to 476,925.47 and 1,036,683.56

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Solution

The third proportional to 476,925.47 and 1,036,683.56 is: 2,253,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,925.47 : 1,036,683.56 = 1,036,683.56 : x
  2. Step 2: Convert to fraction form
    476,925.47/1,036,683.56 = 1,036,683.56/x
  3. Step 3: Cross multiply
    476,925.47x = 1,036,683.56 × 1,036,683.56
  4. Step 4: Simplify right side
    476,925.47x = 1,074,712,808,757.69
  5. Step 5: Solve for x
    x = 1,074,712,808,757.69/476,925.47
  6. Step 6: Final answer
    x = 2,253,418.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.