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Finding the Third Proportional to 807,536 and 1,176,250

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Solution

The third proportional to 807,536 and 1,176,250 is: 1,713,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,536 : 1,176,250 = 1,176,250 : x
  2. Step 2: Convert to fraction form
    807,536/1,176,250 = 1,176,250/x
  3. Step 3: Cross multiply
    807,536x = 1,176,250 × 1,176,250
  4. Step 4: Simplify right side
    807,536x = 1,383,564,062,500
  5. Step 5: Solve for x
    x = 1,383,564,062,500/807,536
  6. Step 6: Final answer
    x = 1,713,315.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.