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Finding the Third Proportional to 1,841,484 and 4,001,724

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Solution

The third proportional to 1,841,484 and 4,001,724 is: 8,696,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,484 : 4,001,724 = 4,001,724 : x
  2. Step 2: Convert to fraction form
    1,841,484/4,001,724 = 4,001,724/x
  3. Step 3: Cross multiply
    1,841,484x = 4,001,724 × 4,001,724
  4. Step 4: Simplify right side
    1,841,484x = 16,013,794,972,176
  5. Step 5: Solve for x
    x = 16,013,794,972,176/1,841,484
  6. Step 6: Final answer
    x = 8,696,135.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.