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Finding the Third Proportional to 906,444 and 1,334,610

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Solution

The third proportional to 906,444 and 1,334,610 is: 1,965,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,444 : 1,334,610 = 1,334,610 : x
  2. Step 2: Convert to fraction form
    906,444/1,334,610 = 1,334,610/x
  3. Step 3: Cross multiply
    906,444x = 1,334,610 × 1,334,610
  4. Step 4: Simplify right side
    906,444x = 1,781,183,852,100
  5. Step 5: Solve for x
    x = 1,781,183,852,100/906,444
  6. Step 6: Final answer
    x = 1,965,023.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.