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Finding the Third Proportional to 2,534,803 and 5,636,334

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Solution

The third proportional to 2,534,803 and 5,636,334 is: 12,532,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,803 : 5,636,334 = 5,636,334 : x
  2. Step 2: Convert to fraction form
    2,534,803/5,636,334 = 5,636,334/x
  3. Step 3: Cross multiply
    2,534,803x = 5,636,334 × 5,636,334
  4. Step 4: Simplify right side
    2,534,803x = 31,768,260,959,556
  5. Step 5: Solve for x
    x = 31,768,260,959,556/2,534,803
  6. Step 6: Final answer
    x = 12,532,832.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.