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Finding the Third Proportional to 986,258 and 2,124,436

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Solution

The third proportional to 986,258 and 2,124,436 is: 4,576,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,258 : 2,124,436 = 2,124,436 : x
  2. Step 2: Convert to fraction form
    986,258/2,124,436 = 2,124,436/x
  3. Step 3: Cross multiply
    986,258x = 2,124,436 × 2,124,436
  4. Step 4: Simplify right side
    986,258x = 4,513,228,318,096
  5. Step 5: Solve for x
    x = 4,513,228,318,096/986,258
  6. Step 6: Final answer
    x = 4,576,113.27

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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.