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Finding the Third Proportional to 922,304 and 2,006,144

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Solution

The third proportional to 922,304 and 2,006,144 is: 4,363,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,304 : 2,006,144 = 2,006,144 : x
  2. Step 2: Convert to fraction form
    922,304/2,006,144 = 2,006,144/x
  3. Step 3: Cross multiply
    922,304x = 2,006,144 × 2,006,144
  4. Step 4: Simplify right side
    922,304x = 4,024,613,748,736
  5. Step 5: Solve for x
    x = 4,024,613,748,736/922,304
  6. Step 6: Final answer
    x = 4,363,652.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.