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Finding the Third Proportional to 1,146,362 and 2,429,272

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Solution

The third proportional to 1,146,362 and 2,429,272 is: 5,147,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,362 : 2,429,272 = 2,429,272 : x
  2. Step 2: Convert to fraction form
    1,146,362/2,429,272 = 2,429,272/x
  3. Step 3: Cross multiply
    1,146,362x = 2,429,272 × 2,429,272
  4. Step 4: Simplify right side
    1,146,362x = 5,901,362,449,984
  5. Step 5: Solve for x
    x = 5,901,362,449,984/1,146,362
  6. Step 6: Final answer
    x = 5,147,904.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.