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Finding the Third Proportional to 1,143,648.75 and 2,486,476.50

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Solution

The third proportional to 1,143,648.75 and 2,486,476.50 is: 5,406,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,648.75 : 2,486,476.50 = 2,486,476.50 : x
  2. Step 2: Convert to fraction form
    1,143,648.75/2,486,476.50 = 2,486,476.50/x
  3. Step 3: Cross multiply
    1,143,648.75x = 2,486,476.50 × 2,486,476.50
  4. Step 4: Simplify right side
    1,143,648.75x = 6,182,565,385,052.25
  5. Step 5: Solve for x
    x = 6,182,565,385,052.25/1,143,648.75
  6. Step 6: Final answer
    x = 5,406,000.21

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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.