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Finding the Third Proportional to 721,844 and 1,009,151

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Solution

The third proportional to 721,844 and 1,009,151 is: 1,410,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,844 : 1,009,151 = 1,009,151 : x
  2. Step 2: Convert to fraction form
    721,844/1,009,151 = 1,009,151/x
  3. Step 3: Cross multiply
    721,844x = 1,009,151 × 1,009,151
  4. Step 4: Simplify right side
    721,844x = 1,018,385,740,801
  5. Step 5: Solve for x
    x = 1,018,385,740,801/721,844
  6. Step 6: Final answer
    x = 1,410,811.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.