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Finding the Third Proportional to 1,729,254 and 2,762,523

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Solution

The third proportional to 1,729,254 and 2,762,523 is: 4,413,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,254 : 2,762,523 = 2,762,523 : x
  2. Step 2: Convert to fraction form
    1,729,254/2,762,523 = 2,762,523/x
  3. Step 3: Cross multiply
    1,729,254x = 2,762,523 × 2,762,523
  4. Step 4: Simplify right side
    1,729,254x = 7,631,533,325,529
  5. Step 5: Solve for x
    x = 7,631,533,325,529/1,729,254
  6. Step 6: Final answer
    x = 4,413,193.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.