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Finding the Third Proportional to 759,508.52 and 1,649,413.76

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Solution

The third proportional to 759,508.52 and 1,649,413.76 is: 3,582,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,508.52 : 1,649,413.76 = 1,649,413.76 : x
  2. Step 2: Convert to fraction form
    759,508.52/1,649,413.76 = 1,649,413.76/x
  3. Step 3: Cross multiply
    759,508.52x = 1,649,413.76 × 1,649,413.76
  4. Step 4: Simplify right side
    759,508.52x = 2,720,565,744,461.15
  5. Step 5: Solve for x
    x = 2,720,565,744,461.15/759,508.52
  6. Step 6: Final answer
    x = 3,582,008.18

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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.