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Finding the Third Proportional to 513,654 and 1,103,772

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Solution

The third proportional to 513,654 and 1,103,772 is: 2,371,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,654 : 1,103,772 = 1,103,772 : x
  2. Step 2: Convert to fraction form
    513,654/1,103,772 = 1,103,772/x
  3. Step 3: Cross multiply
    513,654x = 1,103,772 × 1,103,772
  4. Step 4: Simplify right side
    513,654x = 1,218,312,627,984
  5. Step 5: Solve for x
    x = 1,218,312,627,984/513,654
  6. Step 6: Final answer
    x = 2,371,854.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.