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Finding the Third Proportional to 518,175 and 1,124,859.50

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Solution

The third proportional to 518,175 and 1,124,859.50 is: 2,441,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,175 : 1,124,859.50 = 1,124,859.50 : x
  2. Step 2: Convert to fraction form
    518,175/1,124,859.50 = 1,124,859.50/x
  3. Step 3: Cross multiply
    518,175x = 1,124,859.50 × 1,124,859.50
  4. Step 4: Simplify right side
    518,175x = 1,265,308,894,740.25
  5. Step 5: Solve for x
    x = 1,265,308,894,740.25/518,175
  6. Step 6: Final answer
    x = 2,441,856.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.