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Finding the Third Proportional to 540,981 and 1,175,274

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Solution

The third proportional to 540,981 and 1,175,274 is: 2,553,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,981 : 1,175,274 = 1,175,274 : x
  2. Step 2: Convert to fraction form
    540,981/1,175,274 = 1,175,274/x
  3. Step 3: Cross multiply
    540,981x = 1,175,274 × 1,175,274
  4. Step 4: Simplify right side
    540,981x = 1,381,268,975,076
  5. Step 5: Solve for x
    x = 1,381,268,975,076/540,981
  6. Step 6: Final answer
    x = 2,553,267.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.