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Finding the Third Proportional to 938,614 and 1,407,951

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Solution

The third proportional to 938,614 and 1,407,951 is: 2,111,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,614 : 1,407,951 = 1,407,951 : x
  2. Step 2: Convert to fraction form
    938,614/1,407,951 = 1,407,951/x
  3. Step 3: Cross multiply
    938,614x = 1,407,951 × 1,407,951
  4. Step 4: Simplify right side
    938,614x = 1,982,326,018,401
  5. Step 5: Solve for x
    x = 1,982,326,018,401/938,614
  6. Step 6: Final answer
    x = 2,111,971.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.