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Finding the Third Proportional to 2,116,783 and 4,573,098

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Solution

The third proportional to 2,116,783 and 4,573,098 is: 9,879,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,783 : 4,573,098 = 4,573,098 : x
  2. Step 2: Convert to fraction form
    2,116,783/4,573,098 = 4,573,098/x
  3. Step 3: Cross multiply
    2,116,783x = 4,573,098 × 4,573,098
  4. Step 4: Simplify right side
    2,116,783x = 20,913,225,317,604
  5. Step 5: Solve for x
    x = 20,913,225,317,604/2,116,783
  6. Step 6: Final answer
    x = 9,879,720.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.