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Finding the Third Proportional to 2,863,202 and 6,174,738

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Solution

The third proportional to 2,863,202 and 6,174,738 is: 13,316,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,202 : 6,174,738 = 6,174,738 : x
  2. Step 2: Convert to fraction form
    2,863,202/6,174,738 = 6,174,738/x
  3. Step 3: Cross multiply
    2,863,202x = 6,174,738 × 6,174,738
  4. Step 4: Simplify right side
    2,863,202x = 38,127,389,368,644
  5. Step 5: Solve for x
    x = 38,127,389,368,644/2,863,202
  6. Step 6: Final answer
    x = 13,316,346.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.