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Finding the Third Proportional to 842,989 and 1,846,408

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Solution

The third proportional to 842,989 and 1,846,408 is: 4,044,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,989 : 1,846,408 = 1,846,408 : x
  2. Step 2: Convert to fraction form
    842,989/1,846,408 = 1,846,408/x
  3. Step 3: Cross multiply
    842,989x = 1,846,408 × 1,846,408
  4. Step 4: Simplify right side
    842,989x = 3,409,222,502,464
  5. Step 5: Solve for x
    x = 3,409,222,502,464/842,989
  6. Step 6: Final answer
    x = 4,044,207.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.