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Finding the Third Proportional to 761,402.53 and 1,693,009.69

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Solution

The third proportional to 761,402.53 and 1,693,009.69 is: 3,764,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,402.53 : 1,693,009.69 = 1,693,009.69 : x
  2. Step 2: Convert to fraction form
    761,402.53/1,693,009.69 = 1,693,009.69/x
  3. Step 3: Cross multiply
    761,402.53x = 1,693,009.69 × 1,693,009.69
  4. Step 4: Simplify right side
    761,402.53x = 2,866,281,801,968.85
  5. Step 5: Solve for x
    x = 2,866,281,801,968.85/761,402.53
  6. Step 6: Final answer
    x = 3,764,476.32

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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.