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Finding the Third Proportional to 2,534,820 and 5,636,368

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Solution

The third proportional to 2,534,820 and 5,636,368 is: 12,532,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,820 : 5,636,368 = 5,636,368 : x
  2. Step 2: Convert to fraction form
    2,534,820/5,636,368 = 5,636,368/x
  3. Step 3: Cross multiply
    2,534,820x = 5,636,368 × 5,636,368
  4. Step 4: Simplify right side
    2,534,820x = 31,768,644,231,424
  5. Step 5: Solve for x
    x = 31,768,644,231,424/2,534,820
  6. Step 6: Final answer
    x = 12,532,899.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.