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Finding the Third Proportional to 460,064 and 1,005,420

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Solution

The third proportional to 460,064 and 1,005,420 is: 2,197,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,064 : 1,005,420 = 1,005,420 : x
  2. Step 2: Convert to fraction form
    460,064/1,005,420 = 1,005,420/x
  3. Step 3: Cross multiply
    460,064x = 1,005,420 × 1,005,420
  4. Step 4: Simplify right side
    460,064x = 1,010,869,376,400
  5. Step 5: Solve for x
    x = 1,010,869,376,400/460,064
  6. Step 6: Final answer
    x = 2,197,236.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.