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Finding the Third Proportional to 779,967 and 1,676,349

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Solution

The third proportional to 779,967 and 1,676,349 is: 3,602,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,967 : 1,676,349 = 1,676,349 : x
  2. Step 2: Convert to fraction form
    779,967/1,676,349 = 1,676,349/x
  3. Step 3: Cross multiply
    779,967x = 1,676,349 × 1,676,349
  4. Step 4: Simplify right side
    779,967x = 2,810,145,969,801
  5. Step 5: Solve for x
    x = 2,810,145,969,801/779,967
  6. Step 6: Final answer
    x = 3,602,903.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.