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Finding the Third Proportional to 988,364 and 2,165,836

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Solution

The third proportional to 988,364 and 2,165,836 is: 4,746,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,364 : 2,165,836 = 2,165,836 : x
  2. Step 2: Convert to fraction form
    988,364/2,165,836 = 2,165,836/x
  3. Step 3: Cross multiply
    988,364x = 2,165,836 × 2,165,836
  4. Step 4: Simplify right side
    988,364x = 4,690,845,578,896
  5. Step 5: Solve for x
    x = 4,690,845,578,896/988,364
  6. Step 6: Final answer
    x = 4,746,070.86

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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.