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Finding the Third Proportional to 654,824 and 978,202

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Solution

The third proportional to 654,824 and 978,202 is: 1,461,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,824 : 978,202 = 978,202 : x
  2. Step 2: Convert to fraction form
    654,824/978,202 = 978,202/x
  3. Step 3: Cross multiply
    654,824x = 978,202 × 978,202
  4. Step 4: Simplify right side
    654,824x = 956,879,152,804
  5. Step 5: Solve for x
    x = 956,879,152,804/654,824
  6. Step 6: Final answer
    x = 1,461,276.85

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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.