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Finding the Third Proportional to 540,984 and 1,175,280

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Solution

The third proportional to 540,984 and 1,175,280 is: 2,553,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,984 : 1,175,280 = 1,175,280 : x
  2. Step 2: Convert to fraction form
    540,984/1,175,280 = 1,175,280/x
  3. Step 3: Cross multiply
    540,984x = 1,175,280 × 1,175,280
  4. Step 4: Simplify right side
    540,984x = 1,381,283,078,400
  5. Step 5: Solve for x
    x = 1,381,283,078,400/540,984
  6. Step 6: Final answer
    x = 2,553,278.98

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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.