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Finding the Third Proportional to 673,953 and 1,450,659

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Solution

The third proportional to 673,953 and 1,450,659 is: 3,122,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,953 : 1,450,659 = 1,450,659 : x
  2. Step 2: Convert to fraction form
    673,953/1,450,659 = 1,450,659/x
  3. Step 3: Cross multiply
    673,953x = 1,450,659 × 1,450,659
  4. Step 4: Simplify right side
    673,953x = 2,104,411,534,281
  5. Step 5: Solve for x
    x = 2,104,411,534,281/673,953
  6. Step 6: Final answer
    x = 3,122,490.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.