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Finding the Third Proportional to 2,074,186 and 4,502,468

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Solution

The third proportional to 2,074,186 and 4,502,468 is: 9,773,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,186 : 4,502,468 = 4,502,468 : x
  2. Step 2: Convert to fraction form
    2,074,186/4,502,468 = 4,502,468/x
  3. Step 3: Cross multiply
    2,074,186x = 4,502,468 × 4,502,468
  4. Step 4: Simplify right side
    2,074,186x = 20,272,218,091,024
  5. Step 5: Solve for x
    x = 20,272,218,091,024/2,074,186
  6. Step 6: Final answer
    x = 9,773,577.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.