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Finding the Third Proportional to 730,086 and 1,696,191

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Solution

The third proportional to 730,086 and 1,696,191 is: 3,940,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,086 : 1,696,191 = 1,696,191 : x
  2. Step 2: Convert to fraction form
    730,086/1,696,191 = 1,696,191/x
  3. Step 3: Cross multiply
    730,086x = 1,696,191 × 1,696,191
  4. Step 4: Simplify right side
    730,086x = 2,877,063,908,481
  5. Step 5: Solve for x
    x = 2,877,063,908,481/730,086
  6. Step 6: Final answer
    x = 3,940,719.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.