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Finding the Third Proportional to 765,880.31 and 1,649,916.84

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Solution

The third proportional to 765,880.31 and 1,649,916.84 is: 3,554,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,880.31 : 1,649,916.84 = 1,649,916.84 : x
  2. Step 2: Convert to fraction form
    765,880.31/1,649,916.84 = 1,649,916.84/x
  3. Step 3: Cross multiply
    765,880.31x = 1,649,916.84 × 1,649,916.84
  4. Step 4: Simplify right side
    765,880.31x = 2,722,225,591,289.96
  5. Step 5: Solve for x
    x = 2,722,225,591,289.96/765,880.31
  6. Step 6: Final answer
    x = 3,554,374.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.