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Finding the Third Proportional to 686,823 and 1,050,651

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Solution

The third proportional to 686,823 and 1,050,651 is: 1,607,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,823 : 1,050,651 = 1,050,651 : x
  2. Step 2: Convert to fraction form
    686,823/1,050,651 = 1,050,651/x
  3. Step 3: Cross multiply
    686,823x = 1,050,651 × 1,050,651
  4. Step 4: Simplify right side
    686,823x = 1,103,867,523,801
  5. Step 5: Solve for x
    x = 1,103,867,523,801/686,823
  6. Step 6: Final answer
    x = 1,607,208.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.