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Finding the Third Proportional to 3,097,281 and 6,792,828

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Solution

The third proportional to 3,097,281 and 6,792,828 is: 14,897,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,281 : 6,792,828 = 6,792,828 : x
  2. Step 2: Convert to fraction form
    3,097,281/6,792,828 = 6,792,828/x
  3. Step 3: Cross multiply
    3,097,281x = 6,792,828 × 6,792,828
  4. Step 4: Simplify right side
    3,097,281x = 46,142,512,237,584
  5. Step 5: Solve for x
    x = 46,142,512,237,584/3,097,281
  6. Step 6: Final answer
    x = 14,897,748.13

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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.