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Finding the Third Proportional to 869,263.50 and 1,329,729

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Solution

The third proportional to 869,263.50 and 1,329,729 is: 2,034,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,263.50 : 1,329,729 = 1,329,729 : x
  2. Step 2: Convert to fraction form
    869,263.50/1,329,729 = 1,329,729/x
  3. Step 3: Cross multiply
    869,263.50x = 1,329,729 × 1,329,729
  4. Step 4: Simplify right side
    869,263.50x = 1,768,179,213,441
  5. Step 5: Solve for x
    x = 1,768,179,213,441/869,263.50
  6. Step 6: Final answer
    x = 2,034,111.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.