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Finding the Third Proportional to 917,920 and 1,988,336

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Solution

The third proportional to 917,920 and 1,988,336 is: 4,306,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,920 : 1,988,336 = 1,988,336 : x
  2. Step 2: Convert to fraction form
    917,920/1,988,336 = 1,988,336/x
  3. Step 3: Cross multiply
    917,920x = 1,988,336 × 1,988,336
  4. Step 4: Simplify right side
    917,920x = 3,953,480,048,896
  5. Step 5: Solve for x
    x = 3,953,480,048,896/917,920
  6. Step 6: Final answer
    x = 4,306,998.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.