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Finding the Third Proportional to 1,035,524 and 1,569,324

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Solution

The third proportional to 1,035,524 and 1,569,324 is: 2,378,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,524 : 1,569,324 = 1,569,324 : x
  2. Step 2: Convert to fraction form
    1,035,524/1,569,324 = 1,569,324/x
  3. Step 3: Cross multiply
    1,035,524x = 1,569,324 × 1,569,324
  4. Step 4: Simplify right side
    1,035,524x = 2,462,777,816,976
  5. Step 5: Solve for x
    x = 2,462,777,816,976/1,035,524
  6. Step 6: Final answer
    x = 2,378,291.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.