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Finding the Third Proportional to 1,070,152.50 and 2,228,877

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Solution

The third proportional to 1,070,152.50 and 2,228,877 is: 4,642,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,152.50 : 2,228,877 = 2,228,877 : x
  2. Step 2: Convert to fraction form
    1,070,152.50/2,228,877 = 2,228,877/x
  3. Step 3: Cross multiply
    1,070,152.50x = 2,228,877 × 2,228,877
  4. Step 4: Simplify right side
    1,070,152.50x = 4,967,892,681,129
  5. Step 5: Solve for x
    x = 4,967,892,681,129/1,070,152.50
  6. Step 6: Final answer
    x = 4,642,228.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.