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Finding the Third Proportional to 1,025,051 and 1,591,299

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Solution

The third proportional to 1,025,051 and 1,591,299 is: 2,470,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,051 : 1,591,299 = 1,591,299 : x
  2. Step 2: Convert to fraction form
    1,025,051/1,591,299 = 1,591,299/x
  3. Step 3: Cross multiply
    1,025,051x = 1,591,299 × 1,591,299
  4. Step 4: Simplify right side
    1,025,051x = 2,532,232,507,401
  5. Step 5: Solve for x
    x = 2,532,232,507,401/1,025,051
  6. Step 6: Final answer
    x = 2,470,347.82

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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.