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Finding the Third Proportional to 524,656 and 1,159,574

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Solution

The third proportional to 524,656 and 1,159,574 is: 2,562,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,656 : 1,159,574 = 1,159,574 : x
  2. Step 2: Convert to fraction form
    524,656/1,159,574 = 1,159,574/x
  3. Step 3: Cross multiply
    524,656x = 1,159,574 × 1,159,574
  4. Step 4: Simplify right side
    524,656x = 1,344,611,861,476
  5. Step 5: Solve for x
    x = 1,344,611,861,476/524,656
  6. Step 6: Final answer
    x = 2,562,844.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.