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Finding the Third Proportional to 413,972 and 894,376

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Solution

The third proportional to 413,972 and 894,376 is: 1,932,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,972 : 894,376 = 894,376 : x
  2. Step 2: Convert to fraction form
    413,972/894,376 = 894,376/x
  3. Step 3: Cross multiply
    413,972x = 894,376 × 894,376
  4. Step 4: Simplify right side
    413,972x = 799,908,429,376
  5. Step 5: Solve for x
    x = 799,908,429,376/413,972
  6. Step 6: Final answer
    x = 1,932,276.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.