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Finding the Third Proportional to 523,672 and 1,127,534

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Solution

The third proportional to 523,672 and 1,127,534 is: 2,427,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,672 : 1,127,534 = 1,127,534 : x
  2. Step 2: Convert to fraction form
    523,672/1,127,534 = 1,127,534/x
  3. Step 3: Cross multiply
    523,672x = 1,127,534 × 1,127,534
  4. Step 4: Simplify right side
    523,672x = 1,271,332,921,156
  5. Step 5: Solve for x
    x = 1,271,332,921,156/523,672
  6. Step 6: Final answer
    x = 2,427,727.51

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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.