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Finding the Third Proportional to 748,116 and 1,549,449

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Solution

The third proportional to 748,116 and 1,549,449 is: 3,209,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,116 : 1,549,449 = 1,549,449 : x
  2. Step 2: Convert to fraction form
    748,116/1,549,449 = 1,549,449/x
  3. Step 3: Cross multiply
    748,116x = 1,549,449 × 1,549,449
  4. Step 4: Simplify right side
    748,116x = 2,400,792,203,601
  5. Step 5: Solve for x
    x = 2,400,792,203,601/748,116
  6. Step 6: Final answer
    x = 3,209,117.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.