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Finding the Third Proportional to 650,754 and 1,000,869.75

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Solution

The third proportional to 650,754 and 1,000,869.75 is: 1,539,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,754 : 1,000,869.75 = 1,000,869.75 : x
  2. Step 2: Convert to fraction form
    650,754/1,000,869.75 = 1,000,869.75/x
  3. Step 3: Cross multiply
    650,754x = 1,000,869.75 × 1,000,869.75
  4. Step 4: Simplify right side
    650,754x = 1,001,740,256,465.06
  5. Step 5: Solve for x
    x = 1,001,740,256,465.06/650,754
  6. Step 6: Final answer
    x = 1,539,353.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.