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Finding the Third Proportional to 3,370,599 and 4,769,295

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Solution

The third proportional to 3,370,599 and 4,769,295 is: 6,748,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370,599 : 4,769,295 = 4,769,295 : x
  2. Step 2: Convert to fraction form
    3,370,599/4,769,295 = 4,769,295/x
  3. Step 3: Cross multiply
    3,370,599x = 4,769,295 × 4,769,295
  4. Step 4: Simplify right side
    3,370,599x = 22,746,174,797,025
  5. Step 5: Solve for x
    x = 22,746,174,797,025/3,370,599
  6. Step 6: Final answer
    x = 6,748,407.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.