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Finding the Third Proportional to 1,025,408 and 1,529,616

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Solution

The third proportional to 1,025,408 and 1,529,616 is: 2,281,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,408 : 1,529,616 = 1,529,616 : x
  2. Step 2: Convert to fraction form
    1,025,408/1,529,616 = 1,529,616/x
  3. Step 3: Cross multiply
    1,025,408x = 1,529,616 × 1,529,616
  4. Step 4: Simplify right side
    1,025,408x = 2,339,725,107,456
  5. Step 5: Solve for x
    x = 2,339,725,107,456/1,025,408
  6. Step 6: Final answer
    x = 2,281,750.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.