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Finding the Third Proportional to 769,648.50 and 1,781,541

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Solution

The third proportional to 769,648.50 and 1,781,541 is: 4,123,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,648.50 : 1,781,541 = 1,781,541 : x
  2. Step 2: Convert to fraction form
    769,648.50/1,781,541 = 1,781,541/x
  3. Step 3: Cross multiply
    769,648.50x = 1,781,541 × 1,781,541
  4. Step 4: Simplify right side
    769,648.50x = 3,173,888,334,681
  5. Step 5: Solve for x
    x = 3,173,888,334,681/769,648.50
  6. Step 6: Final answer
    x = 4,123,815.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.