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Finding the Third Proportional to 2,165,547 and 3,027,477

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Solution

The third proportional to 2,165,547 and 3,027,477 is: 4,232,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,547 : 3,027,477 = 3,027,477 : x
  2. Step 2: Convert to fraction form
    2,165,547/3,027,477 = 3,027,477/x
  3. Step 3: Cross multiply
    2,165,547x = 3,027,477 × 3,027,477
  4. Step 4: Simplify right side
    2,165,547x = 9,165,616,985,529
  5. Step 5: Solve for x
    x = 9,165,616,985,529/2,165,547
  6. Step 6: Final answer
    x = 4,232,471.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.