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Finding the Third Proportional to 493,539 and 1,071,641

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Solution

The third proportional to 493,539 and 1,071,641 is: 2,326,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,539 : 1,071,641 = 1,071,641 : x
  2. Step 2: Convert to fraction form
    493,539/1,071,641 = 1,071,641/x
  3. Step 3: Cross multiply
    493,539x = 1,071,641 × 1,071,641
  4. Step 4: Simplify right side
    493,539x = 1,148,414,432,881
  5. Step 5: Solve for x
    x = 1,148,414,432,881/493,539
  6. Step 6: Final answer
    x = 2,326,897.03

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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.