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Finding the Third Proportional to 1,578,040.10 and 3,407,875.66

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Solution

The third proportional to 1,578,040.10 and 3,407,875.66 is: 7,359,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,040.10 : 3,407,875.66 = 3,407,875.66 : x
  2. Step 2: Convert to fraction form
    1,578,040.10/3,407,875.66 = 3,407,875.66/x
  3. Step 3: Cross multiply
    1,578,040.10x = 3,407,875.66 × 3,407,875.66
  4. Step 4: Simplify right side
    1,578,040.10x = 11,613,616,541,709.43
  5. Step 5: Solve for x
    x = 11,613,616,541,709.43/1,578,040.10
  6. Step 6: Final answer
    x = 7,359,519.27

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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.