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Finding the Third Proportional to 1,071,851 and 1,706,177

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Solution

The third proportional to 1,071,851 and 1,706,177 is: 2,715,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,851 : 1,706,177 = 1,706,177 : x
  2. Step 2: Convert to fraction form
    1,071,851/1,706,177 = 1,706,177/x
  3. Step 3: Cross multiply
    1,071,851x = 1,706,177 × 1,706,177
  4. Step 4: Simplify right side
    1,071,851x = 2,911,039,955,329
  5. Step 5: Solve for x
    x = 2,911,039,955,329/1,071,851
  6. Step 6: Final answer
    x = 2,715,899.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.