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Finding the Third Proportional to 719,842 and 1,666,475

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Solution

The third proportional to 719,842 and 1,666,475 is: 3,857,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,842 : 1,666,475 = 1,666,475 : x
  2. Step 2: Convert to fraction form
    719,842/1,666,475 = 1,666,475/x
  3. Step 3: Cross multiply
    719,842x = 1,666,475 × 1,666,475
  4. Step 4: Simplify right side
    719,842x = 2,777,138,925,625
  5. Step 5: Solve for x
    x = 2,777,138,925,625/719,842
  6. Step 6: Final answer
    x = 3,857,984.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.