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Finding the Third Proportional to 698,753 and 1,108,226

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Solution

The third proportional to 698,753 and 1,108,226 is: 1,757,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,753 : 1,108,226 = 1,108,226 : x
  2. Step 2: Convert to fraction form
    698,753/1,108,226 = 1,108,226/x
  3. Step 3: Cross multiply
    698,753x = 1,108,226 × 1,108,226
  4. Step 4: Simplify right side
    698,753x = 1,228,164,867,076
  5. Step 5: Solve for x
    x = 1,228,164,867,076/698,753
  6. Step 6: Final answer
    x = 1,757,652.37

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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.