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Finding the Third Proportional to 620,916 and 1,358,064

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Solution

The third proportional to 620,916 and 1,358,064 is: 2,970,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,916 : 1,358,064 = 1,358,064 : x
  2. Step 2: Convert to fraction form
    620,916/1,358,064 = 1,358,064/x
  3. Step 3: Cross multiply
    620,916x = 1,358,064 × 1,358,064
  4. Step 4: Simplify right side
    620,916x = 1,844,337,828,096
  5. Step 5: Solve for x
    x = 1,844,337,828,096/620,916
  6. Step 6: Final answer
    x = 2,970,349.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.