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Finding the Third Proportional to 670,677 and 1,014,687

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Solution

The third proportional to 670,677 and 1,014,687 is: 1,535,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,677 : 1,014,687 = 1,014,687 : x
  2. Step 2: Convert to fraction form
    670,677/1,014,687 = 1,014,687/x
  3. Step 3: Cross multiply
    670,677x = 1,014,687 × 1,014,687
  4. Step 4: Simplify right side
    670,677x = 1,029,589,707,969
  5. Step 5: Solve for x
    x = 1,029,589,707,969/670,677
  6. Step 6: Final answer
    x = 1,535,149.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.