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Finding the Third Proportional to 2,174,822 and 4,708,051

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Solution

The third proportional to 2,174,822 and 4,708,051 is: 10,191,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,822 : 4,708,051 = 4,708,051 : x
  2. Step 2: Convert to fraction form
    2,174,822/4,708,051 = 4,708,051/x
  3. Step 3: Cross multiply
    2,174,822x = 4,708,051 × 4,708,051
  4. Step 4: Simplify right side
    2,174,822x = 22,165,744,218,601
  5. Step 5: Solve for x
    x = 22,165,744,218,601/2,174,822
  6. Step 6: Final answer
    x = 10,191,980.87

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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.