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Finding the Third Proportional to 656,796 and 1,414,877

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Solution

The third proportional to 656,796 and 1,414,877 is: 3,047,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,796 : 1,414,877 = 1,414,877 : x
  2. Step 2: Convert to fraction form
    656,796/1,414,877 = 1,414,877/x
  3. Step 3: Cross multiply
    656,796x = 1,414,877 × 1,414,877
  4. Step 4: Simplify right side
    656,796x = 2,001,876,925,129
  5. Step 5: Solve for x
    x = 2,001,876,925,129/656,796
  6. Step 6: Final answer
    x = 3,047,943.24

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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.