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Finding the Third Proportional to 1,535,922 and 3,307,311

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Solution

The third proportional to 1,535,922 and 3,307,311 is: 7,121,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,922 : 3,307,311 = 3,307,311 : x
  2. Step 2: Convert to fraction form
    1,535,922/3,307,311 = 3,307,311/x
  3. Step 3: Cross multiply
    1,535,922x = 3,307,311 × 3,307,311
  4. Step 4: Simplify right side
    1,535,922x = 10,938,306,050,721
  5. Step 5: Solve for x
    x = 10,938,306,050,721/1,535,922
  6. Step 6: Final answer
    x = 7,121,654.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.