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Finding the Third Proportional to 748,086 and 1,603,356

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Solution

The third proportional to 748,086 and 1,603,356 is: 3,436,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,086 : 1,603,356 = 1,603,356 : x
  2. Step 2: Convert to fraction form
    748,086/1,603,356 = 1,603,356/x
  3. Step 3: Cross multiply
    748,086x = 1,603,356 × 1,603,356
  4. Step 4: Simplify right side
    748,086x = 2,570,750,462,736
  5. Step 5: Solve for x
    x = 2,570,750,462,736/748,086
  6. Step 6: Final answer
    x = 3,436,437.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.