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Finding the Third Proportional to 1,024,780 and 1,637,102

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Solution

The third proportional to 1,024,780 and 1,637,102 is: 2,615,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,780 : 1,637,102 = 1,637,102 : x
  2. Step 2: Convert to fraction form
    1,024,780/1,637,102 = 1,637,102/x
  3. Step 3: Cross multiply
    1,024,780x = 1,637,102 × 1,637,102
  4. Step 4: Simplify right side
    1,024,780x = 2,680,102,958,404
  5. Step 5: Solve for x
    x = 2,680,102,958,404/1,024,780
  6. Step 6: Final answer
    x = 2,615,295.93

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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.