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Finding the Third Proportional to 1,663,948.50 and 2,377,824

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Solution

The third proportional to 1,663,948.50 and 2,377,824 is: 3,397,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,948.50 : 2,377,824 = 2,377,824 : x
  2. Step 2: Convert to fraction form
    1,663,948.50/2,377,824 = 2,377,824/x
  3. Step 3: Cross multiply
    1,663,948.50x = 2,377,824 × 2,377,824
  4. Step 4: Simplify right side
    1,663,948.50x = 5,654,046,974,976
  5. Step 5: Solve for x
    x = 5,654,046,974,976/1,663,948.50
  6. Step 6: Final answer
    x = 3,397,969.93

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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.