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Finding the Third Proportional to 4,895,296 and 6,881,476

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Solution

The third proportional to 4,895,296 and 6,881,476 is: 9,673,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895,296 : 6,881,476 = 6,881,476 : x
  2. Step 2: Convert to fraction form
    4,895,296/6,881,476 = 6,881,476/x
  3. Step 3: Cross multiply
    4,895,296x = 6,881,476 × 6,881,476
  4. Step 4: Simplify right side
    4,895,296x = 47,354,711,938,576
  5. Step 5: Solve for x
    x = 47,354,711,938,576/4,895,296
  6. Step 6: Final answer
    x = 9,673,513.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.