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Finding the Third Proportional to 740,064 and 1,746,096

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Solution

The third proportional to 740,064 and 1,746,096 is: 4,119,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,064 : 1,746,096 = 1,746,096 : x
  2. Step 2: Convert to fraction form
    740,064/1,746,096 = 1,746,096/x
  3. Step 3: Cross multiply
    740,064x = 1,746,096 × 1,746,096
  4. Step 4: Simplify right side
    740,064x = 3,048,851,241,216
  5. Step 5: Solve for x
    x = 3,048,851,241,216/740,064
  6. Step 6: Final answer
    x = 4,119,712.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.