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Finding the Third Proportional to 917,924 and 1,988,344

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Solution

The third proportional to 917,924 and 1,988,344 is: 4,307,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,924 : 1,988,344 = 1,988,344 : x
  2. Step 2: Convert to fraction form
    917,924/1,988,344 = 1,988,344/x
  3. Step 3: Cross multiply
    917,924x = 1,988,344 × 1,988,344
  4. Step 4: Simplify right side
    917,924x = 3,953,511,862,336
  5. Step 5: Solve for x
    x = 3,953,511,862,336/917,924
  6. Step 6: Final answer
    x = 4,307,014.37

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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.