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Finding the Third Proportional to 406,732 and 891,944

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Solution

The third proportional to 406,732 and 891,944 is: 1,955,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,732 : 891,944 = 891,944 : x
  2. Step 2: Convert to fraction form
    406,732/891,944 = 891,944/x
  3. Step 3: Cross multiply
    406,732x = 891,944 × 891,944
  4. Step 4: Simplify right side
    406,732x = 795,564,099,136
  5. Step 5: Solve for x
    x = 795,564,099,136/406,732
  6. Step 6: Final answer
    x = 1,955,990.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.