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Finding the Third Proportional to 614,486 and 894,711

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Solution

The third proportional to 614,486 and 894,711 is: 1,302,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,486 : 894,711 = 894,711 : x
  2. Step 2: Convert to fraction form
    614,486/894,711 = 894,711/x
  3. Step 3: Cross multiply
    614,486x = 894,711 × 894,711
  4. Step 4: Simplify right side
    614,486x = 800,507,773,521
  5. Step 5: Solve for x
    x = 800,507,773,521/614,486
  6. Step 6: Final answer
    x = 1,302,727.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.