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Finding the Third Proportional to 748,517 and 1,637,002

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Solution

The third proportional to 748,517 and 1,637,002 is: 3,580,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,517 : 1,637,002 = 1,637,002 : x
  2. Step 2: Convert to fraction form
    748,517/1,637,002 = 1,637,002/x
  3. Step 3: Cross multiply
    748,517x = 1,637,002 × 1,637,002
  4. Step 4: Simplify right side
    748,517x = 2,679,775,548,004
  5. Step 5: Solve for x
    x = 2,679,775,548,004/748,517
  6. Step 6: Final answer
    x = 3,580,113.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.