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Finding the Third Proportional to 1,534,315.50 and 2,301,473.25

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Solution

The third proportional to 1,534,315.50 and 2,301,473.25 is: 3,452,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,315.50 : 2,301,473.25 = 2,301,473.25 : x
  2. Step 2: Convert to fraction form
    1,534,315.50/2,301,473.25 = 2,301,473.25/x
  3. Step 3: Cross multiply
    1,534,315.50x = 2,301,473.25 × 2,301,473.25
  4. Step 4: Simplify right side
    1,534,315.50x = 5,296,779,120,465.56
  5. Step 5: Solve for x
    x = 5,296,779,120,465.56/1,534,315.50
  6. Step 6: Final answer
    x = 3,452,209.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.