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Finding the Third Proportional to 1,125,834 and 1,658,970

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Solution

The third proportional to 1,125,834 and 1,658,970 is: 2,444,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,834 : 1,658,970 = 1,658,970 : x
  2. Step 2: Convert to fraction form
    1,125,834/1,658,970 = 1,658,970/x
  3. Step 3: Cross multiply
    1,125,834x = 1,658,970 × 1,658,970
  4. Step 4: Simplify right side
    1,125,834x = 2,752,181,460,900
  5. Step 5: Solve for x
    x = 2,752,181,460,900/1,125,834
  6. Step 6: Final answer
    x = 2,444,571.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.