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Finding the Third Proportional to 1,125,516 and 2,464,485

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Solution

The third proportional to 1,125,516 and 2,464,485 is: 5,396,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,516 : 2,464,485 = 2,464,485 : x
  2. Step 2: Convert to fraction form
    1,125,516/2,464,485 = 2,464,485/x
  3. Step 3: Cross multiply
    1,125,516x = 2,464,485 × 2,464,485
  4. Step 4: Simplify right side
    1,125,516x = 6,073,686,315,225
  5. Step 5: Solve for x
    x = 6,073,686,315,225/1,125,516
  6. Step 6: Final answer
    x = 5,396,357.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.