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Finding the Third Proportional to 1,025,123 and 1,562,970

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Solution

The third proportional to 1,025,123 and 1,562,970 is: 2,383,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,123 : 1,562,970 = 1,562,970 : x
  2. Step 2: Convert to fraction form
    1,025,123/1,562,970 = 1,562,970/x
  3. Step 3: Cross multiply
    1,025,123x = 1,562,970 × 1,562,970
  4. Step 4: Simplify right side
    1,025,123x = 2,442,875,220,900
  5. Step 5: Solve for x
    x = 2,442,875,220,900/1,025,123
  6. Step 6: Final answer
    x = 2,383,006.94

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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.