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Finding the Third Proportional to 785,049 and 1,245,114

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Solution

The third proportional to 785,049 and 1,245,114 is: 1,974,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,049 : 1,245,114 = 1,245,114 : x
  2. Step 2: Convert to fraction form
    785,049/1,245,114 = 1,245,114/x
  3. Step 3: Cross multiply
    785,049x = 1,245,114 × 1,245,114
  4. Step 4: Simplify right side
    785,049x = 1,550,308,872,996
  5. Step 5: Solve for x
    x = 1,550,308,872,996/785,049
  6. Step 6: Final answer
    x = 1,974,792.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.