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Finding the Third Proportional to 505,358 and 1,105,670

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Solution

The third proportional to 505,358 and 1,105,670 is: 2,419,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,358 : 1,105,670 = 1,105,670 : x
  2. Step 2: Convert to fraction form
    505,358/1,105,670 = 1,105,670/x
  3. Step 3: Cross multiply
    505,358x = 1,105,670 × 1,105,670
  4. Step 4: Simplify right side
    505,358x = 1,222,506,148,900
  5. Step 5: Solve for x
    x = 1,222,506,148,900/505,358
  6. Step 6: Final answer
    x = 2,419,089.34

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