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Finding the Third Proportional to 811,726 and 1,261,788

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Solution

The third proportional to 811,726 and 1,261,788 is: 1,961,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,726 : 1,261,788 = 1,261,788 : x
  2. Step 2: Convert to fraction form
    811,726/1,261,788 = 1,261,788/x
  3. Step 3: Cross multiply
    811,726x = 1,261,788 × 1,261,788
  4. Step 4: Simplify right side
    811,726x = 1,592,108,956,944
  5. Step 5: Solve for x
    x = 1,592,108,956,944/811,726
  6. Step 6: Final answer
    x = 1,961,387.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.