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Finding the Third Proportional to 761,416 and 1,693,034

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Solution

The third proportional to 761,416 and 1,693,034 is: 3,764,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,416 : 1,693,034 = 1,693,034 : x
  2. Step 2: Convert to fraction form
    761,416/1,693,034 = 1,693,034/x
  3. Step 3: Cross multiply
    761,416x = 1,693,034 × 1,693,034
  4. Step 4: Simplify right side
    761,416x = 2,866,364,125,156
  5. Step 5: Solve for x
    x = 2,866,364,125,156/761,416
  6. Step 6: Final answer
    x = 3,764,517.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.