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Finding the Third Proportional to 654,814 and 978,187

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Solution

The third proportional to 654,814 and 978,187 is: 1,461,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,814 : 978,187 = 978,187 : x
  2. Step 2: Convert to fraction form
    654,814/978,187 = 978,187/x
  3. Step 3: Cross multiply
    654,814x = 978,187 × 978,187
  4. Step 4: Simplify right side
    654,814x = 956,849,806,969
  5. Step 5: Solve for x
    x = 956,849,806,969/654,814
  6. Step 6: Final answer
    x = 1,461,254.35

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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.