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Finding the Third Proportional to 4,475,460 and 6,883,074

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Solution

The third proportional to 4,475,460 and 6,883,074 is: 10,585,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,460 : 6,883,074 = 6,883,074 : x
  2. Step 2: Convert to fraction form
    4,475,460/6,883,074 = 6,883,074/x
  3. Step 3: Cross multiply
    4,475,460x = 6,883,074 × 6,883,074
  4. Step 4: Simplify right side
    4,475,460x = 47,376,707,689,476
  5. Step 5: Solve for x
    x = 47,376,707,689,476/4,475,460
  6. Step 6: Final answer
    x = 10,585,885.63

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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.