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Finding the Third Proportional to 1,020,486 and 2,224,684

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Solution

The third proportional to 1,020,486 and 2,224,684 is: 4,849,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,486 : 2,224,684 = 2,224,684 : x
  2. Step 2: Convert to fraction form
    1,020,486/2,224,684 = 2,224,684/x
  3. Step 3: Cross multiply
    1,020,486x = 2,224,684 × 2,224,684
  4. Step 4: Simplify right side
    1,020,486x = 4,949,218,899,856
  5. Step 5: Solve for x
    x = 4,949,218,899,856/1,020,486
  6. Step 6: Final answer
    x = 4,849,864.57

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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.