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Finding the Third Proportional to 1,509,623 and 2,284,064

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Solution

The third proportional to 1,509,623 and 2,284,064 is: 3,455,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,623 : 2,284,064 = 2,284,064 : x
  2. Step 2: Convert to fraction form
    1,509,623/2,284,064 = 2,284,064/x
  3. Step 3: Cross multiply
    1,509,623x = 2,284,064 × 2,284,064
  4. Step 4: Simplify right side
    1,509,623x = 5,216,948,356,096
  5. Step 5: Solve for x
    x = 5,216,948,356,096/1,509,623
  6. Step 6: Final answer
    x = 3,455,795.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.