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Finding the Third Proportional to 426,732 and 916,743

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Solution

The third proportional to 426,732 and 916,743 is: 1,969,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,732 : 916,743 = 916,743 : x
  2. Step 2: Convert to fraction form
    426,732/916,743 = 916,743/x
  3. Step 3: Cross multiply
    426,732x = 916,743 × 916,743
  4. Step 4: Simplify right side
    426,732x = 840,417,728,049
  5. Step 5: Solve for x
    x = 840,417,728,049/426,732
  6. Step 6: Final answer
    x = 1,969,427.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.