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Finding the Third Proportional to 2,423,824 and 5,273,276

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Solution

The third proportional to 2,423,824 and 5,273,276 is: 11,472,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423,824 : 5,273,276 = 5,273,276 : x
  2. Step 2: Convert to fraction form
    2,423,824/5,273,276 = 5,273,276/x
  3. Step 3: Cross multiply
    2,423,824x = 5,273,276 × 5,273,276
  4. Step 4: Simplify right side
    2,423,824x = 27,807,439,772,176
  5. Step 5: Solve for x
    x = 27,807,439,772,176/2,423,824
  6. Step 6: Final answer
    x = 11,472,549.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.