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Finding the Third Proportional to 833,196 and 1,244,343

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Solution

The third proportional to 833,196 and 1,244,343 is: 1,858,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,196 : 1,244,343 = 1,244,343 : x
  2. Step 2: Convert to fraction form
    833,196/1,244,343 = 1,244,343/x
  3. Step 3: Cross multiply
    833,196x = 1,244,343 × 1,244,343
  4. Step 4: Simplify right side
    833,196x = 1,548,389,501,649
  5. Step 5: Solve for x
    x = 1,548,389,501,649/833,196
  6. Step 6: Final answer
    x = 1,858,373.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.