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Finding the Third Proportional to 1,736,930 and 3,770,944

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Solution

The third proportional to 1,736,930 and 3,770,944 is: 8,186,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,930 : 3,770,944 = 3,770,944 : x
  2. Step 2: Convert to fraction form
    1,736,930/3,770,944 = 3,770,944/x
  3. Step 3: Cross multiply
    1,736,930x = 3,770,944 × 3,770,944
  4. Step 4: Simplify right side
    1,736,930x = 14,220,018,651,136
  5. Step 5: Solve for x
    x = 14,220,018,651,136/1,736,930
  6. Step 6: Final answer
    x = 8,186,869.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.