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Finding the Third Proportional to 2,964,604 and 6,471,342

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Solution

The third proportional to 2,964,604 and 6,471,342 is: 14,126,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,604 : 6,471,342 = 6,471,342 : x
  2. Step 2: Convert to fraction form
    2,964,604/6,471,342 = 6,471,342/x
  3. Step 3: Cross multiply
    2,964,604x = 6,471,342 × 6,471,342
  4. Step 4: Simplify right side
    2,964,604x = 41,878,267,280,964
  5. Step 5: Solve for x
    x = 41,878,267,280,964/2,964,604
  6. Step 6: Final answer
    x = 14,126,091.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.