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Finding the Third Proportional to 578,691 and 1,267,714

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Solution

The third proportional to 578,691 and 1,267,714 is: 2,777,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,691 : 1,267,714 = 1,267,714 : x
  2. Step 2: Convert to fraction form
    578,691/1,267,714 = 1,267,714/x
  3. Step 3: Cross multiply
    578,691x = 1,267,714 × 1,267,714
  4. Step 4: Simplify right side
    578,691x = 1,607,098,785,796
  5. Step 5: Solve for x
    x = 1,607,098,785,796/578,691
  6. Step 6: Final answer
    x = 2,777,127.67

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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.