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Finding the Third Proportional to 493,541 and 1,071,643

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Solution

The third proportional to 493,541 and 1,071,643 is: 2,326,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,541 : 1,071,643 = 1,071,643 : x
  2. Step 2: Convert to fraction form
    493,541/1,071,643 = 1,071,643/x
  3. Step 3: Cross multiply
    493,541x = 1,071,643 × 1,071,643
  4. Step 4: Simplify right side
    493,541x = 1,148,418,719,449
  5. Step 5: Solve for x
    x = 1,148,418,719,449/493,541
  6. Step 6: Final answer
    x = 2,326,896.29

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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.