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Finding the Third Proportional to 1,706,922 and 3,657,312.75

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Solution

The third proportional to 1,706,922 and 3,657,312.75 is: 7,836,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,922 : 3,657,312.75 = 3,657,312.75 : x
  2. Step 2: Convert to fraction form
    1,706,922/3,657,312.75 = 3,657,312.75/x
  3. Step 3: Cross multiply
    1,706,922x = 3,657,312.75 × 3,657,312.75
  4. Step 4: Simplify right side
    1,706,922x = 13,375,936,551,312.56
  5. Step 5: Solve for x
    x = 13,375,936,551,312.56/1,706,922
  6. Step 6: Final answer
    x = 7,836,290.44

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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.