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Finding the Third Proportional to 533,810 and 1,160,548

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Solution

The third proportional to 533,810 and 1,160,548 is: 2,523,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,810 : 1,160,548 = 1,160,548 : x
  2. Step 2: Convert to fraction form
    533,810/1,160,548 = 1,160,548/x
  3. Step 3: Cross multiply
    533,810x = 1,160,548 × 1,160,548
  4. Step 4: Simplify right side
    533,810x = 1,346,871,660,304
  5. Step 5: Solve for x
    x = 1,346,871,660,304/533,810
  6. Step 6: Final answer
    x = 2,523,129.32

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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.