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Finding the Third Proportional to 1,052,802.14 and 2,155,388.48

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Solution

The third proportional to 1,052,802.14 and 2,155,388.48 is: 4,412,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,802.14 : 2,155,388.48 = 2,155,388.48 : x
  2. Step 2: Convert to fraction form
    1,052,802.14/2,155,388.48 = 2,155,388.48/x
  3. Step 3: Cross multiply
    1,052,802.14x = 2,155,388.48 × 2,155,388.48
  4. Step 4: Simplify right side
    1,052,802.14x = 4,645,699,518,576.36
  5. Step 5: Solve for x
    x = 4,645,699,518,576.36/1,052,802.14
  6. Step 6: Final answer
    x = 4,412,699.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.