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Finding the Third Proportional to 798,035.63 and 1,226,643.75

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Solution

The third proportional to 798,035.63 and 1,226,643.75 is: 1,885,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,035.63 : 1,226,643.75 = 1,226,643.75 : x
  2. Step 2: Convert to fraction form
    798,035.63/1,226,643.75 = 1,226,643.75/x
  3. Step 3: Cross multiply
    798,035.63x = 1,226,643.75 × 1,226,643.75
  4. Step 4: Simplify right side
    798,035.63x = 1,504,654,889,414.06
  5. Step 5: Solve for x
    x = 1,504,654,889,414.06/798,035.63
  6. Step 6: Final answer
    x = 1,885,448.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.