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Finding the Third Proportional to 2,429,904 and 5,625,264

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Solution

The third proportional to 2,429,904 and 5,625,264 is: 13,022,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,904 : 5,625,264 = 5,625,264 : x
  2. Step 2: Convert to fraction form
    2,429,904/5,625,264 = 5,625,264/x
  3. Step 3: Cross multiply
    2,429,904x = 5,625,264 × 5,625,264
  4. Step 4: Simplify right side
    2,429,904x = 31,643,595,069,696
  5. Step 5: Solve for x
    x = 31,643,595,069,696/2,429,904
  6. Step 6: Final answer
    x = 13,022,570.06

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.