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Finding the Third Proportional to 922,000 and 1,242,924

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Solution

The third proportional to 922,000 and 1,242,924 is: 1,675,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,000 : 1,242,924 = 1,242,924 : x
  2. Step 2: Convert to fraction form
    922,000/1,242,924 = 1,242,924/x
  3. Step 3: Cross multiply
    922,000x = 1,242,924 × 1,242,924
  4. Step 4: Simplify right side
    922,000x = 1,544,860,069,776
  5. Step 5: Solve for x
    x = 1,544,860,069,776/922,000
  6. Step 6: Final answer
    x = 1,675,553.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.