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Finding the Third Proportional to 2,296,523 and 5,364,009

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Solution

The third proportional to 2,296,523 and 5,364,009 is: 12,528,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,523 : 5,364,009 = 5,364,009 : x
  2. Step 2: Convert to fraction form
    2,296,523/5,364,009 = 5,364,009/x
  3. Step 3: Cross multiply
    2,296,523x = 5,364,009 × 5,364,009
  4. Step 4: Simplify right side
    2,296,523x = 28,772,592,552,081
  5. Step 5: Solve for x
    x = 28,772,592,552,081/2,296,523
  6. Step 6: Final answer
    x = 12,528,763.07

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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.