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Finding the Third Proportional to 510,243 and 1,110,396

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Solution

The third proportional to 510,243 and 1,110,396 is: 2,416,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,243 : 1,110,396 = 1,110,396 : x
  2. Step 2: Convert to fraction form
    510,243/1,110,396 = 1,110,396/x
  3. Step 3: Cross multiply
    510,243x = 1,110,396 × 1,110,396
  4. Step 4: Simplify right side
    510,243x = 1,232,979,276,816
  5. Step 5: Solve for x
    x = 1,232,979,276,816/510,243
  6. Step 6: Final answer
    x = 2,416,455.06

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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.