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Finding the Third Proportional to 797,655 and 1,750,294

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Solution

The third proportional to 797,655 and 1,750,294 is: 3,840,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,655 : 1,750,294 = 1,750,294 : x
  2. Step 2: Convert to fraction form
    797,655/1,750,294 = 1,750,294/x
  3. Step 3: Cross multiply
    797,655x = 1,750,294 × 1,750,294
  4. Step 4: Simplify right side
    797,655x = 3,063,529,086,436
  5. Step 5: Solve for x
    x = 3,063,529,086,436/797,655
  6. Step 6: Final answer
    x = 3,840,669.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.