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Finding the Third Proportional to 413,872 and 886,776

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Solution

The third proportional to 413,872 and 886,776 is: 1,900,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,872 : 886,776 = 886,776 : x
  2. Step 2: Convert to fraction form
    413,872/886,776 = 886,776/x
  3. Step 3: Cross multiply
    413,872x = 886,776 × 886,776
  4. Step 4: Simplify right side
    413,872x = 786,371,674,176
  5. Step 5: Solve for x
    x = 786,371,674,176/413,872
  6. Step 6: Final answer
    x = 1,900,035.94

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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.