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Finding the Third Proportional to 2,999,724 and 6,599,784

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Solution

The third proportional to 2,999,724 and 6,599,784 is: 14,520,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999,724 : 6,599,784 = 6,599,784 : x
  2. Step 2: Convert to fraction form
    2,999,724/6,599,784 = 6,599,784/x
  3. Step 3: Cross multiply
    2,999,724x = 6,599,784 × 6,599,784
  4. Step 4: Simplify right side
    2,999,724x = 43,557,148,846,656
  5. Step 5: Solve for x
    x = 43,557,148,846,656/2,999,724
  6. Step 6: Final answer
    x = 14,520,385.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.