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Finding the Third Proportional to 782,547.75 and 1,649,160

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Solution

The third proportional to 782,547.75 and 1,649,160 is: 3,475,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,547.75 : 1,649,160 = 1,649,160 : x
  2. Step 2: Convert to fraction form
    782,547.75/1,649,160 = 1,649,160/x
  3. Step 3: Cross multiply
    782,547.75x = 1,649,160 × 1,649,160
  4. Step 4: Simplify right side
    782,547.75x = 2,719,728,705,600
  5. Step 5: Solve for x
    x = 2,719,728,705,600/782,547.75
  6. Step 6: Final answer
    x = 3,475,479.55

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.