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Finding the Third Proportional to 569,946 and 886,031

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Solution

The third proportional to 569,946 and 886,031 is: 1,377,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,946 : 886,031 = 886,031 : x
  2. Step 2: Convert to fraction form
    569,946/886,031 = 886,031/x
  3. Step 3: Cross multiply
    569,946x = 886,031 × 886,031
  4. Step 4: Simplify right side
    569,946x = 785,050,932,961
  5. Step 5: Solve for x
    x = 785,050,932,961/569,946
  6. Step 6: Final answer
    x = 1,377,412.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.