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Finding the Third Proportional to 1,152,338 and 1,529,124

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Solution

The third proportional to 1,152,338 and 1,529,124 is: 2,029,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,338 : 1,529,124 = 1,529,124 : x
  2. Step 2: Convert to fraction form
    1,152,338/1,529,124 = 1,529,124/x
  3. Step 3: Cross multiply
    1,152,338x = 1,529,124 × 1,529,124
  4. Step 4: Simplify right side
    1,152,338x = 2,338,220,207,376
  5. Step 5: Solve for x
    x = 2,338,220,207,376/1,152,338
  6. Step 6: Final answer
    x = 2,029,109.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.