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Finding the Third Proportional to 473,097 and 1,024,926

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Solution

The third proportional to 473,097 and 1,024,926 is: 2,220,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,097 : 1,024,926 = 1,024,926 : x
  2. Step 2: Convert to fraction form
    473,097/1,024,926 = 1,024,926/x
  3. Step 3: Cross multiply
    473,097x = 1,024,926 × 1,024,926
  4. Step 4: Simplify right side
    473,097x = 1,050,473,305,476
  5. Step 5: Solve for x
    x = 1,050,473,305,476/473,097
  6. Step 6: Final answer
    x = 2,220,418.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.