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Finding the Third Proportional to 2,724,264 and 5,730,852

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Solution

The third proportional to 2,724,264 and 5,730,852 is: 12,055,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,264 : 5,730,852 = 5,730,852 : x
  2. Step 2: Convert to fraction form
    2,724,264/5,730,852 = 5,730,852/x
  3. Step 3: Cross multiply
    2,724,264x = 5,730,852 × 5,730,852
  4. Step 4: Simplify right side
    2,724,264x = 32,842,664,645,904
  5. Step 5: Solve for x
    x = 32,842,664,645,904/2,724,264
  6. Step 6: Final answer
    x = 12,055,610.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.