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Finding the Third Proportional to 873,936 and 1,329,142.50

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Solution

The third proportional to 873,936 and 1,329,142.50 is: 2,021,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,936 : 1,329,142.50 = 1,329,142.50 : x
  2. Step 2: Convert to fraction form
    873,936/1,329,142.50 = 1,329,142.50/x
  3. Step 3: Cross multiply
    873,936x = 1,329,142.50 × 1,329,142.50
  4. Step 4: Simplify right side
    873,936x = 1,766,619,785,306.25
  5. Step 5: Solve for x
    x = 1,766,619,785,306.25/873,936
  6. Step 6: Final answer
    x = 2,021,452.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.