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Finding the Third Proportional to 864,209 and 1,244,838

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Solution

The third proportional to 864,209 and 1,244,838 is: 1,793,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,209 : 1,244,838 = 1,244,838 : x
  2. Step 2: Convert to fraction form
    864,209/1,244,838 = 1,244,838/x
  3. Step 3: Cross multiply
    864,209x = 1,244,838 × 1,244,838
  4. Step 4: Simplify right side
    864,209x = 1,549,621,646,244
  5. Step 5: Solve for x
    x = 1,549,621,646,244/864,209
  6. Step 6: Final answer
    x = 1,793,109.82

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.