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Finding the Third Proportional to 647,064 and 1,407,069

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Solution

The third proportional to 647,064 and 1,407,069 is: 3,059,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,064 : 1,407,069 = 1,407,069 : x
  2. Step 2: Convert to fraction form
    647,064/1,407,069 = 1,407,069/x
  3. Step 3: Cross multiply
    647,064x = 1,407,069 × 1,407,069
  4. Step 4: Simplify right side
    647,064x = 1,979,843,170,761
  5. Step 5: Solve for x
    x = 1,979,843,170,761/647,064
  6. Step 6: Final answer
    x = 3,059,733.15

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