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Finding the Third Proportional to 543,000 and 1,123,248

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Solution

The third proportional to 543,000 and 1,123,248 is: 2,323,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,000 : 1,123,248 = 1,123,248 : x
  2. Step 2: Convert to fraction form
    543,000/1,123,248 = 1,123,248/x
  3. Step 3: Cross multiply
    543,000x = 1,123,248 × 1,123,248
  4. Step 4: Simplify right side
    543,000x = 1,261,686,069,504
  5. Step 5: Solve for x
    x = 1,261,686,069,504/543,000
  6. Step 6: Final answer
    x = 2,323,547.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.