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Finding the Third Proportional to 656,768.25 and 1,414,854

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Solution

The third proportional to 656,768.25 and 1,414,854 is: 3,047,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,768.25 : 1,414,854 = 1,414,854 : x
  2. Step 2: Convert to fraction form
    656,768.25/1,414,854 = 1,414,854/x
  3. Step 3: Cross multiply
    656,768.25x = 1,414,854 × 1,414,854
  4. Step 4: Simplify right side
    656,768.25x = 2,001,811,841,316
  5. Step 5: Solve for x
    x = 2,001,811,841,316/656,768.25
  6. Step 6: Final answer
    x = 3,047,972.92

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Why These Related Problems?

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