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Finding the Third Proportional to 648,126 and 950,301

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Solution

The third proportional to 648,126 and 950,301 is: 1,393,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,126 : 950,301 = 950,301 : x
  2. Step 2: Convert to fraction form
    648,126/950,301 = 950,301/x
  3. Step 3: Cross multiply
    648,126x = 950,301 × 950,301
  4. Step 4: Simplify right side
    648,126x = 903,071,990,601
  5. Step 5: Solve for x
    x = 903,071,990,601/648,126
  6. Step 6: Final answer
    x = 1,393,358.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.