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Finding the Third Proportional to 413,364 and 885,776

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Solution

The third proportional to 413,364 and 885,776 is: 1,898,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,364 : 885,776 = 885,776 : x
  2. Step 2: Convert to fraction form
    413,364/885,776 = 885,776/x
  3. Step 3: Cross multiply
    413,364x = 885,776 × 885,776
  4. Step 4: Simplify right side
    413,364x = 784,599,122,176
  5. Step 5: Solve for x
    x = 784,599,122,176/413,364
  6. Step 6: Final answer
    x = 1,898,082.86

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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.