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Finding the Third Proportional to 470,369 and 1,034,379

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Solution

The third proportional to 470,369 and 1,034,379 is: 2,274,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,369 : 1,034,379 = 1,034,379 : x
  2. Step 2: Convert to fraction form
    470,369/1,034,379 = 1,034,379/x
  3. Step 3: Cross multiply
    470,369x = 1,034,379 × 1,034,379
  4. Step 4: Simplify right side
    470,369x = 1,069,939,915,641
  5. Step 5: Solve for x
    x = 1,069,939,915,641/470,369
  6. Step 6: Final answer
    x = 2,274,682.04

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