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Finding the Third Proportional to 900,869 and 1,957,498

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Solution

The third proportional to 900,869 and 1,957,498 is: 4,253,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,869 : 1,957,498 = 1,957,498 : x
  2. Step 2: Convert to fraction form
    900,869/1,957,498 = 1,957,498/x
  3. Step 3: Cross multiply
    900,869x = 1,957,498 × 1,957,498
  4. Step 4: Simplify right side
    900,869x = 3,831,798,420,004
  5. Step 5: Solve for x
    x = 3,831,798,420,004/900,869
  6. Step 6: Final answer
    x = 4,253,446.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.