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Finding the Third Proportional to 2,558,580 and 5,298,312

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Solution

The third proportional to 2,558,580 and 5,298,312 is: 10,971,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,580 : 5,298,312 = 5,298,312 : x
  2. Step 2: Convert to fraction form
    2,558,580/5,298,312 = 5,298,312/x
  3. Step 3: Cross multiply
    2,558,580x = 5,298,312 × 5,298,312
  4. Step 4: Simplify right side
    2,558,580x = 28,072,110,049,344
  5. Step 5: Solve for x
    x = 28,072,110,049,344/2,558,580
  6. Step 6: Final answer
    x = 10,971,753.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.