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Finding the Third Proportional to 934,674 and 1,400,433

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Solution

The third proportional to 934,674 and 1,400,433 is: 2,098,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,674 : 1,400,433 = 1,400,433 : x
  2. Step 2: Convert to fraction form
    934,674/1,400,433 = 1,400,433/x
  3. Step 3: Cross multiply
    934,674x = 1,400,433 × 1,400,433
  4. Step 4: Simplify right side
    934,674x = 1,961,212,587,489
  5. Step 5: Solve for x
    x = 1,961,212,587,489/934,674
  6. Step 6: Final answer
    x = 2,098,285.16

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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.