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Finding the Third Proportional to 689,040 and 1,477,704

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Solution

The third proportional to 689,040 and 1,477,704 is: 3,169,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,040 : 1,477,704 = 1,477,704 : x
  2. Step 2: Convert to fraction form
    689,040/1,477,704 = 1,477,704/x
  3. Step 3: Cross multiply
    689,040x = 1,477,704 × 1,477,704
  4. Step 4: Simplify right side
    689,040x = 2,183,609,111,616
  5. Step 5: Solve for x
    x = 2,183,609,111,616/689,040
  6. Step 6: Final answer
    x = 3,169,060.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.