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Finding the Third Proportional to 762,475.78 and 1,650,480.05

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Solution

The third proportional to 762,475.78 and 1,650,480.05 is: 3,572,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,475.78 : 1,650,480.05 = 1,650,480.05 : x
  2. Step 2: Convert to fraction form
    762,475.78/1,650,480.05 = 1,650,480.05/x
  3. Step 3: Cross multiply
    762,475.78x = 1,650,480.05 × 1,650,480.05
  4. Step 4: Simplify right side
    762,475.78x = 2,724,084,385,132.50
  5. Step 5: Solve for x
    x = 2,724,084,385,132.50/762,475.78
  6. Step 6: Final answer
    x = 3,572,683.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.