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Finding the Third Proportional to 2,056,422 and 3,072,537

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Solution

The third proportional to 2,056,422 and 3,072,537 is: 4,590,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,422 : 3,072,537 = 3,072,537 : x
  2. Step 2: Convert to fraction form
    2,056,422/3,072,537 = 3,072,537/x
  3. Step 3: Cross multiply
    2,056,422x = 3,072,537 × 3,072,537
  4. Step 4: Simplify right side
    2,056,422x = 9,440,483,616,369
  5. Step 5: Solve for x
    x = 9,440,483,616,369/2,056,422
  6. Step 6: Final answer
    x = 4,590,732.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.