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Finding the Third Proportional to 4,475,470 and 6,883,089

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Solution

The third proportional to 4,475,470 and 6,883,089 is: 10,585,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,470 : 6,883,089 = 6,883,089 : x
  2. Step 2: Convert to fraction form
    4,475,470/6,883,089 = 6,883,089/x
  3. Step 3: Cross multiply
    4,475,470x = 6,883,089 × 6,883,089
  4. Step 4: Simplify right side
    4,475,470x = 47,376,914,181,921
  5. Step 5: Solve for x
    x = 47,376,914,181,921/4,475,470
  6. Step 6: Final answer
    x = 10,585,908.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.