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Finding the Third Proportional to 968,452 and 1,600,518

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Solution

The third proportional to 968,452 and 1,600,518 is: 2,645,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,452 : 1,600,518 = 1,600,518 : x
  2. Step 2: Convert to fraction form
    968,452/1,600,518 = 1,600,518/x
  3. Step 3: Cross multiply
    968,452x = 1,600,518 × 1,600,518
  4. Step 4: Simplify right side
    968,452x = 2,561,657,868,324
  5. Step 5: Solve for x
    x = 2,561,657,868,324/968,452
  6. Step 6: Final answer
    x = 2,645,105.66

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.