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Finding the Third Proportional to 895,945 and 1,387,252.50

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Solution

The third proportional to 895,945 and 1,387,252.50 is: 2,147,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,945 : 1,387,252.50 = 1,387,252.50 : x
  2. Step 2: Convert to fraction form
    895,945/1,387,252.50 = 1,387,252.50/x
  3. Step 3: Cross multiply
    895,945x = 1,387,252.50 × 1,387,252.50
  4. Step 4: Simplify right side
    895,945x = 1,924,469,498,756.25
  5. Step 5: Solve for x
    x = 1,924,469,498,756.25/895,945
  6. Step 6: Final answer
    x = 2,147,977.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.