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Finding the Third Proportional to 2,296,520 and 5,364,002

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Solution

The third proportional to 2,296,520 and 5,364,002 is: 12,528,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,520 : 5,364,002 = 5,364,002 : x
  2. Step 2: Convert to fraction form
    2,296,520/5,364,002 = 5,364,002/x
  3. Step 3: Cross multiply
    2,296,520x = 5,364,002 × 5,364,002
  4. Step 4: Simplify right side
    2,296,520x = 28,772,517,456,004
  5. Step 5: Solve for x
    x = 28,772,517,456,004/2,296,520
  6. Step 6: Final answer
    x = 12,528,746.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.