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Finding the Third Proportional to 670,416 and 1,466,166

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Solution

The third proportional to 670,416 and 1,466,166 is: 3,206,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,416 : 1,466,166 = 1,466,166 : x
  2. Step 2: Convert to fraction form
    670,416/1,466,166 = 1,466,166/x
  3. Step 3: Cross multiply
    670,416x = 1,466,166 × 1,466,166
  4. Step 4: Simplify right side
    670,416x = 2,149,642,739,556
  5. Step 5: Solve for x
    x = 2,149,642,739,556/670,416
  6. Step 6: Final answer
    x = 3,206,431.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.