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Finding the Third Proportional to 696,769 and 1,018,267

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Solution

The third proportional to 696,769 and 1,018,267 is: 1,488,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,769 : 1,018,267 = 1,018,267 : x
  2. Step 2: Convert to fraction form
    696,769/1,018,267 = 1,018,267/x
  3. Step 3: Cross multiply
    696,769x = 1,018,267 × 1,018,267
  4. Step 4: Simplify right side
    696,769x = 1,036,867,683,289
  5. Step 5: Solve for x
    x = 1,036,867,683,289/696,769
  6. Step 6: Final answer
    x = 1,488,108.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.