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Finding the Third Proportional to 1,024,536 and 1,646,154

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Solution

The third proportional to 1,024,536 and 1,646,154 is: 2,644,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,536 : 1,646,154 = 1,646,154 : x
  2. Step 2: Convert to fraction form
    1,024,536/1,646,154 = 1,646,154/x
  3. Step 3: Cross multiply
    1,024,536x = 1,646,154 × 1,646,154
  4. Step 4: Simplify right side
    1,024,536x = 2,709,822,991,716
  5. Step 5: Solve for x
    x = 2,709,822,991,716/1,024,536
  6. Step 6: Final answer
    x = 2,644,927.06

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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.