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Finding the Third Proportional to 1,706,919.97 and 3,657,308.60

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Solution

The third proportional to 1,706,919.97 and 3,657,308.60 is: 7,836,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,919.97 : 3,657,308.60 = 3,657,308.60 : x
  2. Step 2: Convert to fraction form
    1,706,919.97/3,657,308.60 = 3,657,308.60/x
  3. Step 3: Cross multiply
    1,706,919.97x = 3,657,308.60 × 3,657,308.60
  4. Step 4: Simplify right side
    1,706,919.97x = 13,375,906,185,634.15
  5. Step 5: Solve for x
    x = 13,375,906,185,634.15/1,706,919.97
  6. Step 6: Final answer
    x = 7,836,281.95

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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.