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Finding the Third Proportional to 1,071,884 and 1,706,226

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Solution

The third proportional to 1,071,884 and 1,706,226 is: 2,715,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,884 : 1,706,226 = 1,706,226 : x
  2. Step 2: Convert to fraction form
    1,071,884/1,706,226 = 1,706,226/x
  3. Step 3: Cross multiply
    1,071,884x = 1,706,226 × 1,706,226
  4. Step 4: Simplify right side
    1,071,884x = 2,911,207,163,076
  5. Step 5: Solve for x
    x = 2,911,207,163,076/1,071,884
  6. Step 6: Final answer
    x = 2,715,972.22

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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.