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Finding the Third Proportional to 935,829 and 1,916,001

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Solution

The third proportional to 935,829 and 1,916,001 is: 3,922,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,829 : 1,916,001 = 1,916,001 : x
  2. Step 2: Convert to fraction form
    935,829/1,916,001 = 1,916,001/x
  3. Step 3: Cross multiply
    935,829x = 1,916,001 × 1,916,001
  4. Step 4: Simplify right side
    935,829x = 3,671,059,832,001
  5. Step 5: Solve for x
    x = 3,671,059,832,001/935,829
  6. Step 6: Final answer
    x = 3,922,789.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.