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Finding the Third Proportional to 670,034 and 1,458,166

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Solution

The third proportional to 670,034 and 1,458,166 is: 3,173,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,034 : 1,458,166 = 1,458,166 : x
  2. Step 2: Convert to fraction form
    670,034/1,458,166 = 1,458,166/x
  3. Step 3: Cross multiply
    670,034x = 1,458,166 × 1,458,166
  4. Step 4: Simplify right side
    670,034x = 2,126,248,083,556
  5. Step 5: Solve for x
    x = 2,126,248,083,556/670,034
  6. Step 6: Final answer
    x = 3,173,343.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.