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Finding the Third Proportional to 869,292 and 1,329,772.50

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Solution

The third proportional to 869,292 and 1,329,772.50 is: 2,034,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,292 : 1,329,772.50 = 1,329,772.50 : x
  2. Step 2: Convert to fraction form
    869,292/1,329,772.50 = 1,329,772.50/x
  3. Step 3: Cross multiply
    869,292x = 1,329,772.50 × 1,329,772.50
  4. Step 4: Simplify right side
    869,292x = 1,768,294,901,756.25
  5. Step 5: Solve for x
    x = 1,768,294,901,756.25/869,292
  6. Step 6: Final answer
    x = 2,034,178.28

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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.