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Finding the Third Proportional to 485,376 and 1,064,064

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Solution

The third proportional to 485,376 and 1,064,064 is: 2,332,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,376 : 1,064,064 = 1,064,064 : x
  2. Step 2: Convert to fraction form
    485,376/1,064,064 = 1,064,064/x
  3. Step 3: Cross multiply
    485,376x = 1,064,064 × 1,064,064
  4. Step 4: Simplify right side
    485,376x = 1,132,232,196,096
  5. Step 5: Solve for x
    x = 1,132,232,196,096/485,376
  6. Step 6: Final answer
    x = 2,332,690.94

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Why These Related Problems?

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