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Finding the Third Proportional to 529,614 and 1,249,167

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Solution

The third proportional to 529,614 and 1,249,167 is: 2,946,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,614 : 1,249,167 = 1,249,167 : x
  2. Step 2: Convert to fraction form
    529,614/1,249,167 = 1,249,167/x
  3. Step 3: Cross multiply
    529,614x = 1,249,167 × 1,249,167
  4. Step 4: Simplify right side
    529,614x = 1,560,418,193,889
  5. Step 5: Solve for x
    x = 1,560,418,193,889/529,614
  6. Step 6: Final answer
    x = 2,946,331.09

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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.