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Finding the Third Proportional to 722,064 and 1,564,532

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Solution

The third proportional to 722,064 and 1,564,532 is: 3,389,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,064 : 1,564,532 = 1,564,532 : x
  2. Step 2: Convert to fraction form
    722,064/1,564,532 = 1,564,532/x
  3. Step 3: Cross multiply
    722,064x = 1,564,532 × 1,564,532
  4. Step 4: Simplify right side
    722,064x = 2,447,760,379,024
  5. Step 5: Solve for x
    x = 2,447,760,379,024/722,064
  6. Step 6: Final answer
    x = 3,389,949.34

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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.