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Finding the Third Proportional to 1,706,139 and 3,711,216

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Solution

The third proportional to 1,706,139 and 3,711,216 is: 8,072,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,139 : 3,711,216 = 3,711,216 : x
  2. Step 2: Convert to fraction form
    1,706,139/3,711,216 = 3,711,216/x
  3. Step 3: Cross multiply
    1,706,139x = 3,711,216 × 3,711,216
  4. Step 4: Simplify right side
    1,706,139x = 13,773,124,198,656
  5. Step 5: Solve for x
    x = 13,773,124,198,656/1,706,139
  6. Step 6: Final answer
    x = 8,072,685.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.