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Finding the Third Proportional to 635,339.95 and 1,362,807.28

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Solution

The third proportional to 635,339.95 and 1,362,807.28 is: 2,923,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,339.95 : 1,362,807.28 = 1,362,807.28 : x
  2. Step 2: Convert to fraction form
    635,339.95/1,362,807.28 = 1,362,807.28/x
  3. Step 3: Cross multiply
    635,339.95x = 1,362,807.28 × 1,362,807.28
  4. Step 4: Simplify right side
    635,339.95x = 1,857,243,685,828.02
  5. Step 5: Solve for x
    x = 1,857,243,685,828.02/635,339.95
  6. Step 6: Final answer
    x = 2,923,228.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.