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Finding the Third Proportional to 664,363 and 1,559,698

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Solution

The third proportional to 664,363 and 1,559,698 is: 3,661,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,363 : 1,559,698 = 1,559,698 : x
  2. Step 2: Convert to fraction form
    664,363/1,559,698 = 1,559,698/x
  3. Step 3: Cross multiply
    664,363x = 1,559,698 × 1,559,698
  4. Step 4: Simplify right side
    664,363x = 2,432,657,851,204
  5. Step 5: Solve for x
    x = 2,432,657,851,204/664,363
  6. Step 6: Final answer
    x = 3,661,639.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.