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Finding the Third Proportional to 671,848 and 1,461,789

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Solution

The third proportional to 671,848 and 1,461,789 is: 3,180,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,848 : 1,461,789 = 1,461,789 : x
  2. Step 2: Convert to fraction form
    671,848/1,461,789 = 1,461,789/x
  3. Step 3: Cross multiply
    671,848x = 1,461,789 × 1,461,789
  4. Step 4: Simplify right side
    671,848x = 2,136,827,080,521
  5. Step 5: Solve for x
    x = 2,136,827,080,521/671,848
  6. Step 6: Final answer
    x = 3,180,521.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.