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Finding the Third Proportional to 819,000 and 1,756,584

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Solution

The third proportional to 819,000 and 1,756,584 is: 3,767,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,000 : 1,756,584 = 1,756,584 : x
  2. Step 2: Convert to fraction form
    819,000/1,756,584 = 1,756,584/x
  3. Step 3: Cross multiply
    819,000x = 1,756,584 × 1,756,584
  4. Step 4: Simplify right side
    819,000x = 3,085,587,349,056
  5. Step 5: Solve for x
    x = 3,085,587,349,056/819,000
  6. Step 6: Final answer
    x = 3,767,505.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.