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Finding the Third Proportional to 2,476,827 and 3,487,915.13

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Solution

The third proportional to 2,476,827 and 3,487,915.13 is: 4,911,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476,827 : 3,487,915.13 = 3,487,915.13 : x
  2. Step 2: Convert to fraction form
    2,476,827/3,487,915.13 = 3,487,915.13/x
  3. Step 3: Cross multiply
    2,476,827x = 3,487,915.13 × 3,487,915.13
  4. Step 4: Simplify right side
    2,476,827x = 12,165,551,919,203.77
  5. Step 5: Solve for x
    x = 12,165,551,919,203.77/2,476,827
  6. Step 6: Final answer
    x = 4,911,748.75

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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.