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Finding the Third Proportional to 418,950 and 896,946.75

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Solution

The third proportional to 418,950 and 896,946.75 is: 1,920,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,950 : 896,946.75 = 896,946.75 : x
  2. Step 2: Convert to fraction form
    418,950/896,946.75 = 896,946.75/x
  3. Step 3: Cross multiply
    418,950x = 896,946.75 × 896,946.75
  4. Step 4: Simplify right side
    418,950x = 804,513,472,335.56
  5. Step 5: Solve for x
    x = 804,513,472,335.56/418,950
  6. Step 6: Final answer
    x = 1,920,309.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.