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Finding the Third Proportional to 418,513 and 894,482

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Solution

The third proportional to 418,513 and 894,482 is: 1,911,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,513 : 894,482 = 894,482 : x
  2. Step 2: Convert to fraction form
    418,513/894,482 = 894,482/x
  3. Step 3: Cross multiply
    418,513x = 894,482 × 894,482
  4. Step 4: Simplify right side
    418,513x = 800,098,048,324
  5. Step 5: Solve for x
    x = 800,098,048,324/418,513
  6. Step 6: Final answer
    x = 1,911,763.91

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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.