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Finding the Third Proportional to 744,998 and 1,658,617

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Solution

The third proportional to 744,998 and 1,658,617 is: 3,692,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,998 : 1,658,617 = 1,658,617 : x
  2. Step 2: Convert to fraction form
    744,998/1,658,617 = 1,658,617/x
  3. Step 3: Cross multiply
    744,998x = 1,658,617 × 1,658,617
  4. Step 4: Simplify right side
    744,998x = 2,751,010,352,689
  5. Step 5: Solve for x
    x = 2,751,010,352,689/744,998
  6. Step 6: Final answer
    x = 3,692,641.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.