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Finding the Third Proportional to 1,024,548 and 1,646,170

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Solution

The third proportional to 1,024,548 and 1,646,170 is: 2,644,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,548 : 1,646,170 = 1,646,170 : x
  2. Step 2: Convert to fraction form
    1,024,548/1,646,170 = 1,646,170/x
  3. Step 3: Cross multiply
    1,024,548x = 1,646,170 × 1,646,170
  4. Step 4: Simplify right side
    1,024,548x = 2,709,875,668,900
  5. Step 5: Solve for x
    x = 2,709,875,668,900/1,024,548
  6. Step 6: Final answer
    x = 2,644,947.50

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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.