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Finding the Third Proportional to 1,196,046 and 2,558,061

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Solution

The third proportional to 1,196,046 and 2,558,061 is: 5,471,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,046 : 2,558,061 = 2,558,061 : x
  2. Step 2: Convert to fraction form
    1,196,046/2,558,061 = 2,558,061/x
  3. Step 3: Cross multiply
    1,196,046x = 2,558,061 × 2,558,061
  4. Step 4: Simplify right side
    1,196,046x = 6,543,676,079,721
  5. Step 5: Solve for x
    x = 6,543,676,079,721/1,196,046
  6. Step 6: Final answer
    x = 5,471,090.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.