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Finding the Third Proportional to 869,332 and 1,329,828

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Solution

The third proportional to 869,332 and 1,329,828 is: 2,034,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,332 : 1,329,828 = 1,329,828 : x
  2. Step 2: Convert to fraction form
    869,332/1,329,828 = 1,329,828/x
  3. Step 3: Cross multiply
    869,332x = 1,329,828 × 1,329,828
  4. Step 4: Simplify right side
    869,332x = 1,768,442,509,584
  5. Step 5: Solve for x
    x = 1,768,442,509,584/869,332
  6. Step 6: Final answer
    x = 2,034,254.47

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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.