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Finding the Third Proportional to 637,830 and 978,707

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Solution

The third proportional to 637,830 and 978,707 is: 1,501,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,830 : 978,707 = 978,707 : x
  2. Step 2: Convert to fraction form
    637,830/978,707 = 978,707/x
  3. Step 3: Cross multiply
    637,830x = 978,707 × 978,707
  4. Step 4: Simplify right side
    637,830x = 957,867,391,849
  5. Step 5: Solve for x
    x = 957,867,391,849/637,830
  6. Step 6: Final answer
    x = 1,501,759.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.