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Finding the Third Proportional to 560,778 and 1,230,122

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Solution

The third proportional to 560,778 and 1,230,122 is: 2,698,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,778 : 1,230,122 = 1,230,122 : x
  2. Step 2: Convert to fraction form
    560,778/1,230,122 = 1,230,122/x
  3. Step 3: Cross multiply
    560,778x = 1,230,122 × 1,230,122
  4. Step 4: Simplify right side
    560,778x = 1,513,200,134,884
  5. Step 5: Solve for x
    x = 1,513,200,134,884/560,778
  6. Step 6: Final answer
    x = 2,698,394.26

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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.