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Finding the Third Proportional to 986,932 and 2,152,348

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Solution

The third proportional to 986,932 and 2,152,348 is: 4,693,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,932 : 2,152,348 = 2,152,348 : x
  2. Step 2: Convert to fraction form
    986,932/2,152,348 = 2,152,348/x
  3. Step 3: Cross multiply
    986,932x = 2,152,348 × 2,152,348
  4. Step 4: Simplify right side
    986,932x = 4,632,601,913,104
  5. Step 5: Solve for x
    x = 4,632,601,913,104/986,932
  6. Step 6: Final answer
    x = 4,693,942.35

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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.