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Finding the Third Proportional to 2,559,590.50 and 5,601,293

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Solution

The third proportional to 2,559,590.50 and 5,601,293 is: 12,257,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559,590.50 : 5,601,293 = 5,601,293 : x
  2. Step 2: Convert to fraction form
    2,559,590.50/5,601,293 = 5,601,293/x
  3. Step 3: Cross multiply
    2,559,590.50x = 5,601,293 × 5,601,293
  4. Step 4: Simplify right side
    2,559,590.50x = 31,374,483,271,849
  5. Step 5: Solve for x
    x = 31,374,483,271,849/2,559,590.50
  6. Step 6: Final answer
    x = 12,257,618.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.