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Finding the Third Proportional to 413,769 and 886,584

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Solution

The third proportional to 413,769 and 886,584 is: 1,899,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,769 : 886,584 = 886,584 : x
  2. Step 2: Convert to fraction form
    413,769/886,584 = 886,584/x
  3. Step 3: Cross multiply
    413,769x = 886,584 × 886,584
  4. Step 4: Simplify right side
    413,769x = 786,031,189,056
  5. Step 5: Solve for x
    x = 786,031,189,056/413,769
  6. Step 6: Final answer
    x = 1,899,686.03

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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.