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Finding the Third Proportional to 4,475,466 and 6,883,084

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Solution

The third proportional to 4,475,466 and 6,883,084 is: 10,585,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,466 : 6,883,084 = 6,883,084 : x
  2. Step 2: Convert to fraction form
    4,475,466/6,883,084 = 6,883,084/x
  3. Step 3: Cross multiply
    4,475,466x = 6,883,084 × 6,883,084
  4. Step 4: Simplify right side
    4,475,466x = 47,376,845,351,056
  5. Step 5: Solve for x
    x = 47,376,845,351,056/4,475,466
  6. Step 6: Final answer
    x = 10,585,902.19

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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.