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Finding the Third Proportional to 406,965 and 883,959

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Solution

The third proportional to 406,965 and 883,959 is: 1,920,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,965 : 883,959 = 883,959 : x
  2. Step 2: Convert to fraction form
    406,965/883,959 = 883,959/x
  3. Step 3: Cross multiply
    406,965x = 883,959 × 883,959
  4. Step 4: Simplify right side
    406,965x = 781,383,513,681
  5. Step 5: Solve for x
    x = 781,383,513,681/406,965
  6. Step 6: Final answer
    x = 1,920,026.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.