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Finding the Third Proportional to 470,349 and 1,034,343

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Solution

The third proportional to 470,349 and 1,034,343 is: 2,274,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,349 : 1,034,343 = 1,034,343 : x
  2. Step 2: Convert to fraction form
    470,349/1,034,343 = 1,034,343/x
  3. Step 3: Cross multiply
    470,349x = 1,034,343 × 1,034,343
  4. Step 4: Simplify right side
    470,349x = 1,069,865,441,649
  5. Step 5: Solve for x
    x = 1,069,865,441,649/470,349
  6. Step 6: Final answer
    x = 2,274,620.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.