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Finding the Third Proportional to 578,502 and 1,245,906

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Solution

The third proportional to 578,502 and 1,245,906 is: 2,683,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,502 : 1,245,906 = 1,245,906 : x
  2. Step 2: Convert to fraction form
    578,502/1,245,906 = 1,245,906/x
  3. Step 3: Cross multiply
    578,502x = 1,245,906 × 1,245,906
  4. Step 4: Simplify right side
    578,502x = 1,552,281,760,836
  5. Step 5: Solve for x
    x = 1,552,281,760,836/578,502
  6. Step 6: Final answer
    x = 2,683,278.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.