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Finding the Third Proportional to 1,399,166 and 2,966,475

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Solution

The third proportional to 1,399,166 and 2,966,475 is: 6,289,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,166 : 2,966,475 = 2,966,475 : x
  2. Step 2: Convert to fraction form
    1,399,166/2,966,475 = 2,966,475/x
  3. Step 3: Cross multiply
    1,399,166x = 2,966,475 × 2,966,475
  4. Step 4: Simplify right side
    1,399,166x = 8,799,973,925,625
  5. Step 5: Solve for x
    x = 8,799,973,925,625/1,399,166
  6. Step 6: Final answer
    x = 6,289,442.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.