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Finding the Third Proportional to 686,767 and 1,010,296

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Solution

The third proportional to 686,767 and 1,010,296 is: 1,486,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,767 : 1,010,296 = 1,010,296 : x
  2. Step 2: Convert to fraction form
    686,767/1,010,296 = 1,010,296/x
  3. Step 3: Cross multiply
    686,767x = 1,010,296 × 1,010,296
  4. Step 4: Simplify right side
    686,767x = 1,020,698,007,616
  5. Step 5: Solve for x
    x = 1,020,698,007,616/686,767
  6. Step 6: Final answer
    x = 1,486,236.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.