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Finding the Third Proportional to 2,197,218 and 4,813,359

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Solution

The third proportional to 2,197,218 and 4,813,359 is: 10,544,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,218 : 4,813,359 = 4,813,359 : x
  2. Step 2: Convert to fraction form
    2,197,218/4,813,359 = 4,813,359/x
  3. Step 3: Cross multiply
    2,197,218x = 4,813,359 × 4,813,359
  4. Step 4: Simplify right side
    2,197,218x = 23,168,424,862,881
  5. Step 5: Solve for x
    x = 23,168,424,862,881/2,197,218
  6. Step 6: Final answer
    x = 10,544,436.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.