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Finding the Third Proportional to 494,712 and 1,068,144

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Solution

The third proportional to 494,712 and 1,068,144 is: 2,306,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,712 : 1,068,144 = 1,068,144 : x
  2. Step 2: Convert to fraction form
    494,712/1,068,144 = 1,068,144/x
  3. Step 3: Cross multiply
    494,712x = 1,068,144 × 1,068,144
  4. Step 4: Simplify right side
    494,712x = 1,140,931,604,736
  5. Step 5: Solve for x
    x = 1,140,931,604,736/494,712
  6. Step 6: Final answer
    x = 2,306,254.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.