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Finding the Third Proportional to 716,091 and 1,003,816

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Solution

The third proportional to 716,091 and 1,003,816 is: 1,407,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,091 : 1,003,816 = 1,003,816 : x
  2. Step 2: Convert to fraction form
    716,091/1,003,816 = 1,003,816/x
  3. Step 3: Cross multiply
    716,091x = 1,003,816 × 1,003,816
  4. Step 4: Simplify right side
    716,091x = 1,007,646,561,856
  5. Step 5: Solve for x
    x = 1,007,646,561,856/716,091
  6. Step 6: Final answer
    x = 1,407,148.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.