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Finding the Third Proportional to 1,427,364 and 3,138,623

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Solution

The third proportional to 1,427,364 and 3,138,623 is: 6,901,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,364 : 3,138,623 = 3,138,623 : x
  2. Step 2: Convert to fraction form
    1,427,364/3,138,623 = 3,138,623/x
  3. Step 3: Cross multiply
    1,427,364x = 3,138,623 × 3,138,623
  4. Step 4: Simplify right side
    1,427,364x = 9,850,954,336,129
  5. Step 5: Solve for x
    x = 9,850,954,336,129/1,427,364
  6. Step 6: Final answer
    x = 6,901,501.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.