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Finding the Third Proportional to 698,052 and 1,107,122

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Solution

The third proportional to 698,052 and 1,107,122 is: 1,755,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,052 : 1,107,122 = 1,107,122 : x
  2. Step 2: Convert to fraction form
    698,052/1,107,122 = 1,107,122/x
  3. Step 3: Cross multiply
    698,052x = 1,107,122 × 1,107,122
  4. Step 4: Simplify right side
    698,052x = 1,225,719,122,884
  5. Step 5: Solve for x
    x = 1,225,719,122,884/698,052
  6. Step 6: Final answer
    x = 1,755,913.78

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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.