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Finding the Third Proportional to 656,776 and 1,414,869

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Solution

The third proportional to 656,776 and 1,414,869 is: 3,048,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,776 : 1,414,869 = 1,414,869 : x
  2. Step 2: Convert to fraction form
    656,776/1,414,869 = 1,414,869/x
  3. Step 3: Cross multiply
    656,776x = 1,414,869 × 1,414,869
  4. Step 4: Simplify right side
    656,776x = 2,001,854,287,161
  5. Step 5: Solve for x
    x = 2,001,854,287,161/656,776
  6. Step 6: Final answer
    x = 3,048,001.58

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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.