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Finding the Third Proportional to 811,760 and 1,292,816

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Solution

The third proportional to 811,760 and 1,292,816 is: 2,058,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,760 : 1,292,816 = 1,292,816 : x
  2. Step 2: Convert to fraction form
    811,760/1,292,816 = 1,292,816/x
  3. Step 3: Cross multiply
    811,760x = 1,292,816 × 1,292,816
  4. Step 4: Simplify right side
    811,760x = 1,671,373,209,856
  5. Step 5: Solve for x
    x = 1,671,373,209,856/811,760
  6. Step 6: Final answer
    x = 2,058,949.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.