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Finding the Third Proportional to 524,302 and 1,146,726

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Solution

The third proportional to 524,302 and 1,146,726 is: 2,508,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,302 : 1,146,726 = 1,146,726 : x
  2. Step 2: Convert to fraction form
    524,302/1,146,726 = 1,146,726/x
  3. Step 3: Cross multiply
    524,302x = 1,146,726 × 1,146,726
  4. Step 4: Simplify right side
    524,302x = 1,314,980,519,076
  5. Step 5: Solve for x
    x = 1,314,980,519,076/524,302
  6. Step 6: Final answer
    x = 2,508,059.32

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Why These Related Problems?

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