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Finding the Third Proportional to 456,445.13 and 985,061.25

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Solution

The third proportional to 456,445.13 and 985,061.25 is: 2,125,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,445.13 : 985,061.25 = 985,061.25 : x
  2. Step 2: Convert to fraction form
    456,445.13/985,061.25 = 985,061.25/x
  3. Step 3: Cross multiply
    456,445.13x = 985,061.25 × 985,061.25
  4. Step 4: Simplify right side
    456,445.13x = 970,345,666,251.56
  5. Step 5: Solve for x
    x = 970,345,666,251.56/456,445.13
  6. Step 6: Final answer
    x = 2,125,875.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.