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Finding the Third Proportional to 840,051 and 1,843,397

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Solution

The third proportional to 840,051 and 1,843,397 is: 4,045,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,051 : 1,843,397 = 1,843,397 : x
  2. Step 2: Convert to fraction form
    840,051/1,843,397 = 1,843,397/x
  3. Step 3: Cross multiply
    840,051x = 1,843,397 × 1,843,397
  4. Step 4: Simplify right side
    840,051x = 3,398,112,499,609
  5. Step 5: Solve for x
    x = 3,398,112,499,609/840,051
  6. Step 6: Final answer
    x = 4,045,126.43

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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.