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Finding the Third Proportional to 771,044 and 1,670,794

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Solution

The third proportional to 771,044 and 1,670,794 is: 3,620,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,044 : 1,670,794 = 1,670,794 : x
  2. Step 2: Convert to fraction form
    771,044/1,670,794 = 1,670,794/x
  3. Step 3: Cross multiply
    771,044x = 1,670,794 × 1,670,794
  4. Step 4: Simplify right side
    771,044x = 2,791,552,590,436
  5. Step 5: Solve for x
    x = 2,791,552,590,436/771,044
  6. Step 6: Final answer
    x = 3,620,484.16

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