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Finding the Third Proportional to 656,822 and 1,414,934

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Solution

The third proportional to 656,822 and 1,414,934 is: 3,048,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,822 : 1,414,934 = 1,414,934 : x
  2. Step 2: Convert to fraction form
    656,822/1,414,934 = 1,414,934/x
  3. Step 3: Cross multiply
    656,822x = 1,414,934 × 1,414,934
  4. Step 4: Simplify right side
    656,822x = 2,002,038,224,356
  5. Step 5: Solve for x
    x = 2,002,038,224,356/656,822
  6. Step 6: Final answer
    x = 3,048,068.16

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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.