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Finding the Third Proportional to 614,934 and 1,348,330

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Solution

The third proportional to 614,934 and 1,348,330 is: 2,956,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,934 : 1,348,330 = 1,348,330 : x
  2. Step 2: Convert to fraction form
    614,934/1,348,330 = 1,348,330/x
  3. Step 3: Cross multiply
    614,934x = 1,348,330 × 1,348,330
  4. Step 4: Simplify right side
    614,934x = 1,817,993,788,900
  5. Step 5: Solve for x
    x = 1,817,993,788,900/614,934
  6. Step 6: Final answer
    x = 2,956,404.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.