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Finding the Third Proportional to 668,153 and 1,456,906

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Solution

The third proportional to 668,153 and 1,456,906 is: 3,176,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,153 : 1,456,906 = 1,456,906 : x
  2. Step 2: Convert to fraction form
    668,153/1,456,906 = 1,456,906/x
  3. Step 3: Cross multiply
    668,153x = 1,456,906 × 1,456,906
  4. Step 4: Simplify right side
    668,153x = 2,122,575,092,836
  5. Step 5: Solve for x
    x = 2,122,575,092,836/668,153
  6. Step 6: Final answer
    x = 3,176,780.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.