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Finding the Third Proportional to 940,672 and 1,413,152

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Solution

The third proportional to 940,672 and 1,413,152 is: 2,122,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,672 : 1,413,152 = 1,413,152 : x
  2. Step 2: Convert to fraction form
    940,672/1,413,152 = 1,413,152/x
  3. Step 3: Cross multiply
    940,672x = 1,413,152 × 1,413,152
  4. Step 4: Simplify right side
    940,672x = 1,996,998,575,104
  5. Step 5: Solve for x
    x = 1,996,998,575,104/940,672
  6. Step 6: Final answer
    x = 2,122,948.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.