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Finding the Third Proportional to 1,025,503 and 1,592,011

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Solution

The third proportional to 1,025,503 and 1,592,011 is: 2,471,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,503 : 1,592,011 = 1,592,011 : x
  2. Step 2: Convert to fraction form
    1,025,503/1,592,011 = 1,592,011/x
  3. Step 3: Cross multiply
    1,025,503x = 1,592,011 × 1,592,011
  4. Step 4: Simplify right side
    1,025,503x = 2,534,499,024,121
  5. Step 5: Solve for x
    x = 2,534,499,024,121/1,025,503
  6. Step 6: Final answer
    x = 2,471,469.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.