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Finding the Third Proportional to 1,840,272 and 4,021,712

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Solution

The third proportional to 1,840,272 and 4,021,712 is: 8,789,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,272 : 4,021,712 = 4,021,712 : x
  2. Step 2: Convert to fraction form
    1,840,272/4,021,712 = 4,021,712/x
  3. Step 3: Cross multiply
    1,840,272x = 4,021,712 × 4,021,712
  4. Step 4: Simplify right side
    1,840,272x = 16,174,167,410,944
  5. Step 5: Solve for x
    x = 16,174,167,410,944/1,840,272
  6. Step 6: Final answer
    x = 8,789,009.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.