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Finding the Third Proportional to 2,693,894 and 4,182,514

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Solution

The third proportional to 2,693,894 and 4,182,514 is: 6,493,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,894 : 4,182,514 = 4,182,514 : x
  2. Step 2: Convert to fraction form
    2,693,894/4,182,514 = 4,182,514/x
  3. Step 3: Cross multiply
    2,693,894x = 4,182,514 × 4,182,514
  4. Step 4: Simplify right side
    2,693,894x = 17,493,423,360,196
  5. Step 5: Solve for x
    x = 17,493,423,360,196/2,693,894
  6. Step 6: Final answer
    x = 6,493,731.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.