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Finding the Third Proportional to 506,640 and 1,094,496

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Solution

The third proportional to 506,640 and 1,094,496 is: 2,364,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,640 : 1,094,496 = 1,094,496 : x
  2. Step 2: Convert to fraction form
    506,640/1,094,496 = 1,094,496/x
  3. Step 3: Cross multiply
    506,640x = 1,094,496 × 1,094,496
  4. Step 4: Simplify right side
    506,640x = 1,197,921,494,016
  5. Step 5: Solve for x
    x = 1,197,921,494,016/506,640
  6. Step 6: Final answer
    x = 2,364,443.18

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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.