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Finding the Third Proportional to 986,256 and 2,124,432

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Solution

The third proportional to 986,256 and 2,124,432 is: 4,576,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,256 : 2,124,432 = 2,124,432 : x
  2. Step 2: Convert to fraction form
    986,256/2,124,432 = 2,124,432/x
  3. Step 3: Cross multiply
    986,256x = 2,124,432 × 2,124,432
  4. Step 4: Simplify right side
    986,256x = 4,513,211,322,624
  5. Step 5: Solve for x
    x = 4,513,211,322,624/986,256
  6. Step 6: Final answer
    x = 4,576,105.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.