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Finding the Third Proportional to 1,309,927.50 and 2,082,987

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Solution

The third proportional to 1,309,927.50 and 2,082,987 is: 3,312,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,927.50 : 2,082,987 = 2,082,987 : x
  2. Step 2: Convert to fraction form
    1,309,927.50/2,082,987 = 2,082,987/x
  3. Step 3: Cross multiply
    1,309,927.50x = 2,082,987 × 2,082,987
  4. Step 4: Simplify right side
    1,309,927.50x = 4,338,834,842,169
  5. Step 5: Solve for x
    x = 4,338,834,842,169/1,309,927.50
  6. Step 6: Final answer
    x = 3,312,270.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.