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Finding the Third Proportional to 482,470 and 1,029,064

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Solution

The third proportional to 482,470 and 1,029,064 is: 2,194,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,470 : 1,029,064 = 1,029,064 : x
  2. Step 2: Convert to fraction form
    482,470/1,029,064 = 1,029,064/x
  3. Step 3: Cross multiply
    482,470x = 1,029,064 × 1,029,064
  4. Step 4: Simplify right side
    482,470x = 1,058,972,716,096
  5. Step 5: Solve for x
    x = 1,058,972,716,096/482,470
  6. Step 6: Final answer
    x = 2,194,898.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.