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Finding the Third Proportional to 758,051 and 1,642,147

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Solution

The third proportional to 758,051 and 1,642,147 is: 3,557,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,051 : 1,642,147 = 1,642,147 : x
  2. Step 2: Convert to fraction form
    758,051/1,642,147 = 1,642,147/x
  3. Step 3: Cross multiply
    758,051x = 1,642,147 × 1,642,147
  4. Step 4: Simplify right side
    758,051x = 2,696,646,769,609
  5. Step 5: Solve for x
    x = 2,696,646,769,609/758,051
  6. Step 6: Final answer
    x = 3,557,342.14

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Why These Related Problems?

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