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Finding the Third Proportional to 1,442,278 and 3,077,596

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Solution

The third proportional to 1,442,278 and 3,077,596 is: 6,567,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,278 : 3,077,596 = 3,077,596 : x
  2. Step 2: Convert to fraction form
    1,442,278/3,077,596 = 3,077,596/x
  3. Step 3: Cross multiply
    1,442,278x = 3,077,596 × 3,077,596
  4. Step 4: Simplify right side
    1,442,278x = 9,471,597,139,216
  5. Step 5: Solve for x
    x = 9,471,597,139,216/1,442,278
  6. Step 6: Final answer
    x = 6,567,109.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.