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Finding the Third Proportional to 648,120 and 950,292

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Solution

The third proportional to 648,120 and 950,292 is: 1,393,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,120 : 950,292 = 950,292 : x
  2. Step 2: Convert to fraction form
    648,120/950,292 = 950,292/x
  3. Step 3: Cross multiply
    648,120x = 950,292 × 950,292
  4. Step 4: Simplify right side
    648,120x = 903,054,885,264
  5. Step 5: Solve for x
    x = 903,054,885,264/648,120
  6. Step 6: Final answer
    x = 1,393,345.19

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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.