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Finding the Third Proportional to 1,538,694 and 3,562,101

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Solution

The third proportional to 1,538,694 and 3,562,101 is: 8,246,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,694 : 3,562,101 = 3,562,101 : x
  2. Step 2: Convert to fraction form
    1,538,694/3,562,101 = 3,562,101/x
  3. Step 3: Cross multiply
    1,538,694x = 3,562,101 × 3,562,101
  4. Step 4: Simplify right side
    1,538,694x = 12,688,563,534,201
  5. Step 5: Solve for x
    x = 12,688,563,534,201/1,538,694
  6. Step 6: Final answer
    x = 8,246,320.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.