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Finding the Third Proportional to 602,012 and 881,422

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Solution

The third proportional to 602,012 and 881,422 is: 1,290,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,012 : 881,422 = 881,422 : x
  2. Step 2: Convert to fraction form
    602,012/881,422 = 881,422/x
  3. Step 3: Cross multiply
    602,012x = 881,422 × 881,422
  4. Step 4: Simplify right side
    602,012x = 776,904,742,084
  5. Step 5: Solve for x
    x = 776,904,742,084/602,012
  6. Step 6: Final answer
    x = 1,290,513.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.