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Finding the Third Proportional to 1,333,038 and 1,904,900

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Solution

The third proportional to 1,333,038 and 1,904,900 is: 2,722,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,038 : 1,904,900 = 1,904,900 : x
  2. Step 2: Convert to fraction form
    1,333,038/1,904,900 = 1,904,900/x
  3. Step 3: Cross multiply
    1,333,038x = 1,904,900 × 1,904,900
  4. Step 4: Simplify right side
    1,333,038x = 3,628,644,010,000
  5. Step 5: Solve for x
    x = 3,628,644,010,000/1,333,038
  6. Step 6: Final answer
    x = 2,722,085.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.