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Finding the Third Proportional to 2,840,946 and 6,846,486

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Solution

The third proportional to 2,840,946 and 6,846,486 is: 16,499,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840,946 : 6,846,486 = 6,846,486 : x
  2. Step 2: Convert to fraction form
    2,840,946/6,846,486 = 6,846,486/x
  3. Step 3: Cross multiply
    2,840,946x = 6,846,486 × 6,846,486
  4. Step 4: Simplify right side
    2,840,946x = 46,874,370,548,196
  5. Step 5: Solve for x
    x = 46,874,370,548,196/2,840,946
  6. Step 6: Final answer
    x = 16,499,564.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.