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Finding the Third Proportional to 759,176 and 1,115,919

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Solution

The third proportional to 759,176 and 1,115,919 is: 1,640,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,176 : 1,115,919 = 1,115,919 : x
  2. Step 2: Convert to fraction form
    759,176/1,115,919 = 1,115,919/x
  3. Step 3: Cross multiply
    759,176x = 1,115,919 × 1,115,919
  4. Step 4: Simplify right side
    759,176x = 1,245,275,214,561
  5. Step 5: Solve for x
    x = 1,245,275,214,561/759,176
  6. Step 6: Final answer
    x = 1,640,298.45

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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.