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Finding the Third Proportional to 2,485,824 and 5,386,368

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Solution

The third proportional to 2,485,824 and 5,386,368 is: 11,671,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485,824 : 5,386,368 = 5,386,368 : x
  2. Step 2: Convert to fraction form
    2,485,824/5,386,368 = 5,386,368/x
  3. Step 3: Cross multiply
    2,485,824x = 5,386,368 × 5,386,368
  4. Step 4: Simplify right side
    2,485,824x = 29,012,960,231,424
  5. Step 5: Solve for x
    x = 29,012,960,231,424/2,485,824
  6. Step 6: Final answer
    x = 11,671,365.40

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