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Finding the Third Proportional to 668,783 and 1,446,646

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Solution

The third proportional to 668,783 and 1,446,646 is: 3,129,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,783 : 1,446,646 = 1,446,646 : x
  2. Step 2: Convert to fraction form
    668,783/1,446,646 = 1,446,646/x
  3. Step 3: Cross multiply
    668,783x = 1,446,646 × 1,446,646
  4. Step 4: Simplify right side
    668,783x = 2,092,784,649,316
  5. Step 5: Solve for x
    x = 2,092,784,649,316/668,783
  6. Step 6: Final answer
    x = 3,129,243.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.