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Finding the Third Proportional to 435,901 and 960,239

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Solution

The third proportional to 435,901 and 960,239 is: 2,115,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,901 : 960,239 = 960,239 : x
  2. Step 2: Convert to fraction form
    435,901/960,239 = 960,239/x
  3. Step 3: Cross multiply
    435,901x = 960,239 × 960,239
  4. Step 4: Simplify right side
    435,901x = 922,058,937,121
  5. Step 5: Solve for x
    x = 922,058,937,121/435,901
  6. Step 6: Final answer
    x = 2,115,294.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.