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Finding the Third Proportional to 1,281,545 and 2,728,735

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Solution

The third proportional to 1,281,545 and 2,728,735 is: 5,810,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,545 : 2,728,735 = 2,728,735 : x
  2. Step 2: Convert to fraction form
    1,281,545/2,728,735 = 2,728,735/x
  3. Step 3: Cross multiply
    1,281,545x = 2,728,735 × 2,728,735
  4. Step 4: Simplify right side
    1,281,545x = 7,445,994,700,225
  5. Step 5: Solve for x
    x = 7,445,994,700,225/1,281,545
  6. Step 6: Final answer
    x = 5,810,170.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.