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Finding the Third Proportional to 524,214 and 1,146,569.63

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Solution

The third proportional to 524,214 and 1,146,569.63 is: 2,507,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,214 : 1,146,569.63 = 1,146,569.63 : x
  2. Step 2: Convert to fraction form
    524,214/1,146,569.63 = 1,146,569.63/x
  3. Step 3: Cross multiply
    524,214x = 1,146,569.63 × 1,146,569.63
  4. Step 4: Simplify right side
    524,214x = 1,314,621,904,972.64
  5. Step 5: Solve for x
    x = 1,314,621,904,972.64/524,214
  6. Step 6: Final answer
    x = 2,507,796.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.