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Finding the Third Proportional to 524,240 and 1,124,944

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Solution

The third proportional to 524,240 and 1,124,944 is: 2,413,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,240 : 1,124,944 = 1,124,944 : x
  2. Step 2: Convert to fraction form
    524,240/1,124,944 = 1,124,944/x
  3. Step 3: Cross multiply
    524,240x = 1,124,944 × 1,124,944
  4. Step 4: Simplify right side
    524,240x = 1,265,499,003,136
  5. Step 5: Solve for x
    x = 1,265,499,003,136/524,240
  6. Step 6: Final answer
    x = 2,413,968.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.