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Finding the Third Proportional to 626,262 and 1,477,167

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Solution

The third proportional to 626,262 and 1,477,167 is: 3,484,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,262 : 1,477,167 = 1,477,167 : x
  2. Step 2: Convert to fraction form
    626,262/1,477,167 = 1,477,167/x
  3. Step 3: Cross multiply
    626,262x = 1,477,167 × 1,477,167
  4. Step 4: Simplify right side
    626,262x = 2,182,022,345,889
  5. Step 5: Solve for x
    x = 2,182,022,345,889/626,262
  6. Step 6: Final answer
    x = 3,484,200.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.