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Finding the Third Proportional to 607,986 and 1,319,814

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Solution

The third proportional to 607,986 and 1,319,814 is: 2,865,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,986 : 1,319,814 = 1,319,814 : x
  2. Step 2: Convert to fraction form
    607,986/1,319,814 = 1,319,814/x
  3. Step 3: Cross multiply
    607,986x = 1,319,814 × 1,319,814
  4. Step 4: Simplify right side
    607,986x = 1,741,908,994,596
  5. Step 5: Solve for x
    x = 1,741,908,994,596/607,986
  6. Step 6: Final answer
    x = 2,865,047.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.