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Finding the Third Proportional to 929,064 and 2,035,275

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Solution

The third proportional to 929,064 and 2,035,275 is: 4,458,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,064 : 2,035,275 = 2,035,275 : x
  2. Step 2: Convert to fraction form
    929,064/2,035,275 = 2,035,275/x
  3. Step 3: Cross multiply
    929,064x = 2,035,275 × 2,035,275
  4. Step 4: Simplify right side
    929,064x = 4,142,344,325,625
  5. Step 5: Solve for x
    x = 4,142,344,325,625/929,064
  6. Step 6: Final answer
    x = 4,458,621.07

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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.