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Finding the Third Proportional to 632,130 and 978,147

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Solution

The third proportional to 632,130 and 978,147 is: 1,513,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,130 : 978,147 = 978,147 : x
  2. Step 2: Convert to fraction form
    632,130/978,147 = 978,147/x
  3. Step 3: Cross multiply
    632,130x = 978,147 × 978,147
  4. Step 4: Simplify right side
    632,130x = 956,771,553,609
  5. Step 5: Solve for x
    x = 956,771,553,609/632,130
  6. Step 6: Final answer
    x = 1,513,567.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.