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Finding the Third Proportional to 697,695 and 1,502,282

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Solution

The third proportional to 697,695 and 1,502,282 is: 3,234,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,695 : 1,502,282 = 1,502,282 : x
  2. Step 2: Convert to fraction form
    697,695/1,502,282 = 1,502,282/x
  3. Step 3: Cross multiply
    697,695x = 1,502,282 × 1,502,282
  4. Step 4: Simplify right side
    697,695x = 2,256,851,207,524
  5. Step 5: Solve for x
    x = 2,256,851,207,524/697,695
  6. Step 6: Final answer
    x = 3,234,724.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.