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Finding the Third Proportional to 1,064,807.25 and 2,310,224.25

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Solution

The third proportional to 1,064,807.25 and 2,310,224.25 is: 5,012,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,807.25 : 2,310,224.25 = 2,310,224.25 : x
  2. Step 2: Convert to fraction form
    1,064,807.25/2,310,224.25 = 2,310,224.25/x
  3. Step 3: Cross multiply
    1,064,807.25x = 2,310,224.25 × 2,310,224.25
  4. Step 4: Simplify right side
    1,064,807.25x = 5,337,136,085,288.06
  5. Step 5: Solve for x
    x = 5,337,136,085,288.06/1,064,807.25
  6. Step 6: Final answer
    x = 5,012,302.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.