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Finding the Third Proportional to 486,834 and 711,414

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Solution

The third proportional to 486,834 and 711,414 is: 1,039,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,834 : 711,414 = 711,414 : x
  2. Step 2: Convert to fraction form
    486,834/711,414 = 711,414/x
  3. Step 3: Cross multiply
    486,834x = 711,414 × 711,414
  4. Step 4: Simplify right side
    486,834x = 506,109,879,396
  5. Step 5: Solve for x
    x = 506,109,879,396/486,834
  6. Step 6: Final answer
    x = 1,039,594.36

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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.