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Finding the Third Proportional to 646,692 and 978,985

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Solution

The third proportional to 646,692 and 978,985 is: 1,482,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,692 : 978,985 = 978,985 : x
  2. Step 2: Convert to fraction form
    646,692/978,985 = 978,985/x
  3. Step 3: Cross multiply
    646,692x = 978,985 × 978,985
  4. Step 4: Simplify right side
    646,692x = 958,411,630,225
  5. Step 5: Solve for x
    x = 958,411,630,225/646,692
  6. Step 6: Final answer
    x = 1,482,021.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.