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Finding the Third Proportional to 669,664 and 1,580,536

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Solution

The third proportional to 669,664 and 1,580,536 is: 3,730,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,664 : 1,580,536 = 1,580,536 : x
  2. Step 2: Convert to fraction form
    669,664/1,580,536 = 1,580,536/x
  3. Step 3: Cross multiply
    669,664x = 1,580,536 × 1,580,536
  4. Step 4: Simplify right side
    669,664x = 2,498,094,047,296
  5. Step 5: Solve for x
    x = 2,498,094,047,296/669,664
  6. Step 6: Final answer
    x = 3,730,369.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.