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Finding the Third Proportional to 524,895.19 and 1,143,127.69

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Solution

The third proportional to 524,895.19 and 1,143,127.69 is: 2,489,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,895.19 : 1,143,127.69 = 1,143,127.69 : x
  2. Step 2: Convert to fraction form
    524,895.19/1,143,127.69 = 1,143,127.69/x
  3. Step 3: Cross multiply
    524,895.19x = 1,143,127.69 × 1,143,127.69
  4. Step 4: Simplify right side
    524,895.19x = 1,306,740,909,929.10
  5. Step 5: Solve for x
    x = 1,306,740,909,929.10/524,895.19
  6. Step 6: Final answer
    x = 2,489,527.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.