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Finding the Third Proportional to 673,712 and 1,461,760

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Solution

The third proportional to 673,712 and 1,461,760 is: 3,171,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,712 : 1,461,760 = 1,461,760 : x
  2. Step 2: Convert to fraction form
    673,712/1,461,760 = 1,461,760/x
  3. Step 3: Cross multiply
    673,712x = 1,461,760 × 1,461,760
  4. Step 4: Simplify right side
    673,712x = 2,136,742,297,600
  5. Step 5: Solve for x
    x = 2,136,742,297,600/673,712
  6. Step 6: Final answer
    x = 3,171,596.02

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Why These Related Problems?

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