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Finding the Third Proportional to 2,698,228 and 5,746,032

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Solution

The third proportional to 2,698,228 and 5,746,032 is: 12,236,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,228 : 5,746,032 = 5,746,032 : x
  2. Step 2: Convert to fraction form
    2,698,228/5,746,032 = 5,746,032/x
  3. Step 3: Cross multiply
    2,698,228x = 5,746,032 × 5,746,032
  4. Step 4: Simplify right side
    2,698,228x = 33,016,883,745,024
  5. Step 5: Solve for x
    x = 33,016,883,745,024/2,698,228
  6. Step 6: Final answer
    x = 12,236,506.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.