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Finding the Third Proportional to 861,143 and 1,417,962.50

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Solution

The third proportional to 861,143 and 1,417,962.50 is: 2,334,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,143 : 1,417,962.50 = 1,417,962.50 : x
  2. Step 2: Convert to fraction form
    861,143/1,417,962.50 = 1,417,962.50/x
  3. Step 3: Cross multiply
    861,143x = 1,417,962.50 × 1,417,962.50
  4. Step 4: Simplify right side
    861,143x = 2,010,617,651,406.25
  5. Step 5: Solve for x
    x = 2,010,617,651,406.25/861,143
  6. Step 6: Final answer
    x = 2,334,824.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.