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Finding the Third Proportional to 1,549,954.50 and 3,284,292

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Solution

The third proportional to 1,549,954.50 and 3,284,292 is: 6,959,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549,954.50 : 3,284,292 = 3,284,292 : x
  2. Step 2: Convert to fraction form
    1,549,954.50/3,284,292 = 3,284,292/x
  3. Step 3: Cross multiply
    1,549,954.50x = 3,284,292 × 3,284,292
  4. Step 4: Simplify right side
    1,549,954.50x = 10,786,573,941,264
  5. Step 5: Solve for x
    x = 10,786,573,941,264/1,549,954.50
  6. Step 6: Final answer
    x = 6,959,284.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.