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Finding the Third Proportional to 1,053,000 and 2,274,115.50

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Solution

The third proportional to 1,053,000 and 2,274,115.50 is: 4,911,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,000 : 2,274,115.50 = 2,274,115.50 : x
  2. Step 2: Convert to fraction form
    1,053,000/2,274,115.50 = 2,274,115.50/x
  3. Step 3: Cross multiply
    1,053,000x = 2,274,115.50 × 2,274,115.50
  4. Step 4: Simplify right side
    1,053,000x = 5,171,601,307,340.25
  5. Step 5: Solve for x
    x = 5,171,601,307,340.25/1,053,000
  6. Step 6: Final answer
    x = 4,911,302.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.