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Finding the Third Proportional to 2,710,706 and 5,646,146

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Solution

The third proportional to 2,710,706 and 5,646,146 is: 11,760,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710,706 : 5,646,146 = 5,646,146 : x
  2. Step 2: Convert to fraction form
    2,710,706/5,646,146 = 5,646,146/x
  3. Step 3: Cross multiply
    2,710,706x = 5,646,146 × 5,646,146
  4. Step 4: Simplify right side
    2,710,706x = 31,878,964,653,316
  5. Step 5: Solve for x
    x = 31,878,964,653,316/2,710,706
  6. Step 6: Final answer
    x = 11,760,391.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.