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Finding the Third Proportional to 1,024,742 and 1,637,049

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Solution

The third proportional to 1,024,742 and 1,637,049 is: 2,615,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,742 : 1,637,049 = 1,637,049 : x
  2. Step 2: Convert to fraction form
    1,024,742/1,637,049 = 1,637,049/x
  3. Step 3: Cross multiply
    1,024,742x = 1,637,049 × 1,637,049
  4. Step 4: Simplify right side
    1,024,742x = 2,679,929,428,401
  5. Step 5: Solve for x
    x = 2,679,929,428,401/1,024,742
  6. Step 6: Final answer
    x = 2,615,223.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.