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Finding the Third Proportional to 1,024,560 and 1,646,190

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Solution

The third proportional to 1,024,560 and 1,646,190 is: 2,644,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,560 : 1,646,190 = 1,646,190 : x
  2. Step 2: Convert to fraction form
    1,024,560/1,646,190 = 1,646,190/x
  3. Step 3: Cross multiply
    1,024,560x = 1,646,190 × 1,646,190
  4. Step 4: Simplify right side
    1,024,560x = 2,709,941,516,100
  5. Step 5: Solve for x
    x = 2,709,941,516,100/1,024,560
  6. Step 6: Final answer
    x = 2,644,980.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.