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Finding the Third Proportional to 748,197 and 1,549,599.75

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Solution

The third proportional to 748,197 and 1,549,599.75 is: 3,209,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,197 : 1,549,599.75 = 1,549,599.75 : x
  2. Step 2: Convert to fraction form
    748,197/1,549,599.75 = 1,549,599.75/x
  3. Step 3: Cross multiply
    748,197x = 1,549,599.75 × 1,549,599.75
  4. Step 4: Simplify right side
    748,197x = 2,401,259,385,200.06
  5. Step 5: Solve for x
    x = 2,401,259,385,200.06/748,197
  6. Step 6: Final answer
    x = 3,209,394.56

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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.