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Finding the Third Proportional to 758,484 and 1,624,920

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Solution

The third proportional to 758,484 and 1,624,920 is: 3,481,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,484 : 1,624,920 = 1,624,920 : x
  2. Step 2: Convert to fraction form
    758,484/1,624,920 = 1,624,920/x
  3. Step 3: Cross multiply
    758,484x = 1,624,920 × 1,624,920
  4. Step 4: Simplify right side
    758,484x = 2,640,365,006,400
  5. Step 5: Solve for x
    x = 2,640,365,006,400/758,484
  6. Step 6: Final answer
    x = 3,481,108.38

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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.