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Finding the Third Proportional to 698,014 and 1,107,071

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Solution

The third proportional to 698,014 and 1,107,071 is: 1,755,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,014 : 1,107,071 = 1,107,071 : x
  2. Step 2: Convert to fraction form
    698,014/1,107,071 = 1,107,071/x
  3. Step 3: Cross multiply
    698,014x = 1,107,071 × 1,107,071
  4. Step 4: Simplify right side
    698,014x = 1,225,606,199,041
  5. Step 5: Solve for x
    x = 1,225,606,199,041/698,014
  6. Step 6: Final answer
    x = 1,755,847.59

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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.