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Finding the Third Proportional to 1,024,554 and 1,646,181

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Solution

The third proportional to 1,024,554 and 1,646,181 is: 2,644,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,554 : 1,646,181 = 1,646,181 : x
  2. Step 2: Convert to fraction form
    1,024,554/1,646,181 = 1,646,181/x
  3. Step 3: Cross multiply
    1,024,554x = 1,646,181 × 1,646,181
  4. Step 4: Simplify right side
    1,024,554x = 2,709,911,884,761
  5. Step 5: Solve for x
    x = 2,709,911,884,761/1,024,554
  6. Step 6: Final answer
    x = 2,644,967.36

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Why These Related Problems?

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