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Finding the Third Proportional to 414,622.13 and 904,284

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Solution

The third proportional to 414,622.13 and 904,284 is: 1,972,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,622.13 : 904,284 = 904,284 : x
  2. Step 2: Convert to fraction form
    414,622.13/904,284 = 904,284/x
  3. Step 3: Cross multiply
    414,622.13x = 904,284 × 904,284
  4. Step 4: Simplify right side
    414,622.13x = 817,729,552,656
  5. Step 5: Solve for x
    x = 817,729,552,656/414,622.13
  6. Step 6: Final answer
    x = 1,972,228.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.