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Finding the Third Proportional to 4,108,382 and 6,411,288

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Solution

The third proportional to 4,108,382 and 6,411,288 is: 10,005,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108,382 : 6,411,288 = 6,411,288 : x
  2. Step 2: Convert to fraction form
    4,108,382/6,411,288 = 6,411,288/x
  3. Step 3: Cross multiply
    4,108,382x = 6,411,288 × 6,411,288
  4. Step 4: Simplify right side
    4,108,382x = 41,104,613,818,944
  5. Step 5: Solve for x
    x = 41,104,613,818,944/4,108,382
  6. Step 6: Final answer
    x = 10,005,061.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.