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Finding the Third Proportional to 990,196 and 2,165,864

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Solution

The third proportional to 990,196 and 2,165,864 is: 4,737,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,196 : 2,165,864 = 2,165,864 : x
  2. Step 2: Convert to fraction form
    990,196/2,165,864 = 2,165,864/x
  3. Step 3: Cross multiply
    990,196x = 2,165,864 × 2,165,864
  4. Step 4: Simplify right side
    990,196x = 4,690,966,866,496
  5. Step 5: Solve for x
    x = 4,690,966,866,496/990,196
  6. Step 6: Final answer
    x = 4,737,412.46

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