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Finding the Third Proportional to 654,807 and 978,177

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Solution

The third proportional to 654,807 and 978,177 is: 1,461,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,807 : 978,177 = 978,177 : x
  2. Step 2: Convert to fraction form
    654,807/978,177 = 978,177/x
  3. Step 3: Cross multiply
    654,807x = 978,177 × 978,177
  4. Step 4: Simplify right side
    654,807x = 956,830,243,329
  5. Step 5: Solve for x
    x = 956,830,243,329/654,807
  6. Step 6: Final answer
    x = 1,461,240.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.