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Finding the Third Proportional to 524,642 and 1,125,724

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Solution

The third proportional to 524,642 and 1,125,724 is: 2,415,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,642 : 1,125,724 = 1,125,724 : x
  2. Step 2: Convert to fraction form
    524,642/1,125,724 = 1,125,724/x
  3. Step 3: Cross multiply
    524,642x = 1,125,724 × 1,125,724
  4. Step 4: Simplify right side
    524,642x = 1,267,254,524,176
  5. Step 5: Solve for x
    x = 1,267,254,524,176/524,642
  6. Step 6: Final answer
    x = 2,415,465.26

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Why These Related Problems?

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