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Finding the Third Proportional to 790,920 and 1,225,696

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Solution

The third proportional to 790,920 and 1,225,696 is: 1,899,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,920 : 1,225,696 = 1,225,696 : x
  2. Step 2: Convert to fraction form
    790,920/1,225,696 = 1,225,696/x
  3. Step 3: Cross multiply
    790,920x = 1,225,696 × 1,225,696
  4. Step 4: Simplify right side
    790,920x = 1,502,330,684,416
  5. Step 5: Solve for x
    x = 1,502,330,684,416/790,920
  6. Step 6: Final answer
    x = 1,899,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.