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Finding the Third Proportional to 654,540 and 1,412,364

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Solution

The third proportional to 654,540 and 1,412,364 is: 3,047,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,540 : 1,412,364 = 1,412,364 : x
  2. Step 2: Convert to fraction form
    654,540/1,412,364 = 1,412,364/x
  3. Step 3: Cross multiply
    654,540x = 1,412,364 × 1,412,364
  4. Step 4: Simplify right side
    654,540x = 1,994,772,068,496
  5. Step 5: Solve for x
    x = 1,994,772,068,496/654,540
  6. Step 6: Final answer
    x = 3,047,593.83

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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.