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Finding the Third Proportional to 706,176 and 906,711

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Solution

The third proportional to 706,176 and 906,711 is: 1,164,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,176 : 906,711 = 906,711 : x
  2. Step 2: Convert to fraction form
    706,176/906,711 = 906,711/x
  3. Step 3: Cross multiply
    706,176x = 906,711 × 906,711
  4. Step 4: Simplify right side
    706,176x = 822,124,837,521
  5. Step 5: Solve for x
    x = 822,124,837,521/706,176
  6. Step 6: Final answer
    x = 1,164,192.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.