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Finding the Third Proportional to 789,411.75 and 1,711,580

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Solution

The third proportional to 789,411.75 and 1,711,580 is: 3,710,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,411.75 : 1,711,580 = 1,711,580 : x
  2. Step 2: Convert to fraction form
    789,411.75/1,711,580 = 1,711,580/x
  3. Step 3: Cross multiply
    789,411.75x = 1,711,580 × 1,711,580
  4. Step 4: Simplify right side
    789,411.75x = 2,929,506,096,400
  5. Step 5: Solve for x
    x = 2,929,506,096,400/789,411.75
  6. Step 6: Final answer
    x = 3,710,998.85

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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.