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Finding the Third Proportional to 684,944 and 1,074,436

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Solution

The third proportional to 684,944 and 1,074,436 is: 1,685,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,944 : 1,074,436 = 1,074,436 : x
  2. Step 2: Convert to fraction form
    684,944/1,074,436 = 1,074,436/x
  3. Step 3: Cross multiply
    684,944x = 1,074,436 × 1,074,436
  4. Step 4: Simplify right side
    684,944x = 1,154,412,718,096
  5. Step 5: Solve for x
    x = 1,154,412,718,096/684,944
  6. Step 6: Final answer
    x = 1,685,411.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.