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Finding the Third Proportional to 626,090 and 838,755

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Solution

The third proportional to 626,090 and 838,755 is: 1,123,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,090 : 838,755 = 838,755 : x
  2. Step 2: Convert to fraction form
    626,090/838,755 = 838,755/x
  3. Step 3: Cross multiply
    626,090x = 838,755 × 838,755
  4. Step 4: Simplify right side
    626,090x = 703,509,950,025
  5. Step 5: Solve for x
    x = 703,509,950,025/626,090
  6. Step 6: Final answer
    x = 1,123,656.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.