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Finding the Third Proportional to 2,838,816 and 6,049,260

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Solution

The third proportional to 2,838,816 and 6,049,260 is: 12,890,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,816 : 6,049,260 = 6,049,260 : x
  2. Step 2: Convert to fraction form
    2,838,816/6,049,260 = 6,049,260/x
  3. Step 3: Cross multiply
    2,838,816x = 6,049,260 × 6,049,260
  4. Step 4: Simplify right side
    2,838,816x = 36,593,546,547,600
  5. Step 5: Solve for x
    x = 36,593,546,547,600/2,838,816
  6. Step 6: Final answer
    x = 12,890,425.64

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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.