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Finding the Third Proportional to 1,024,736 and 1,637,040

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Solution

The third proportional to 1,024,736 and 1,637,040 is: 2,615,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,736 : 1,637,040 = 1,637,040 : x
  2. Step 2: Convert to fraction form
    1,024,736/1,637,040 = 1,637,040/x
  3. Step 3: Cross multiply
    1,024,736x = 1,637,040 × 1,637,040
  4. Step 4: Simplify right side
    1,024,736x = 2,679,899,961,600
  5. Step 5: Solve for x
    x = 2,679,899,961,600/1,024,736
  6. Step 6: Final answer
    x = 2,615,210.12

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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.