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Finding the Third Proportional to 748,476 and 1,624,893

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Solution

The third proportional to 748,476 and 1,624,893 is: 3,527,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,476 : 1,624,893 = 1,624,893 : x
  2. Step 2: Convert to fraction form
    748,476/1,624,893 = 1,624,893/x
  3. Step 3: Cross multiply
    748,476x = 1,624,893 × 1,624,893
  4. Step 4: Simplify right side
    748,476x = 2,640,277,261,449
  5. Step 5: Solve for x
    x = 2,640,277,261,449/748,476
  6. Step 6: Final answer
    x = 3,527,537.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.