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Finding the Third Proportional to 387,266 and 849,060

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Solution

The third proportional to 387,266 and 849,060 is: 1,861,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,266 : 849,060 = 849,060 : x
  2. Step 2: Convert to fraction form
    387,266/849,060 = 849,060/x
  3. Step 3: Cross multiply
    387,266x = 849,060 × 849,060
  4. Step 4: Simplify right side
    387,266x = 720,902,883,600
  5. Step 5: Solve for x
    x = 720,902,883,600/387,266
  6. Step 6: Final answer
    x = 1,861,518.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.