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Finding the Third Proportional to 854,132 and 1,286,788

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Solution

The third proportional to 854,132 and 1,286,788 is: 1,938,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,132 : 1,286,788 = 1,286,788 : x
  2. Step 2: Convert to fraction form
    854,132/1,286,788 = 1,286,788/x
  3. Step 3: Cross multiply
    854,132x = 1,286,788 × 1,286,788
  4. Step 4: Simplify right side
    854,132x = 1,655,823,356,944
  5. Step 5: Solve for x
    x = 1,655,823,356,944/854,132
  6. Step 6: Final answer
    x = 1,938,603.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.