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Finding the Third Proportional to 971,286 and 1,470,471

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Solution

The third proportional to 971,286 and 1,470,471 is: 2,226,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,286 : 1,470,471 = 1,470,471 : x
  2. Step 2: Convert to fraction form
    971,286/1,470,471 = 1,470,471/x
  3. Step 3: Cross multiply
    971,286x = 1,470,471 × 1,470,471
  4. Step 4: Simplify right side
    971,286x = 2,162,284,961,841
  5. Step 5: Solve for x
    x = 2,162,284,961,841/971,286
  6. Step 6: Final answer
    x = 2,226,208.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.