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Finding the Third Proportional to 934,714 and 1,400,523

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Solution

The third proportional to 934,714 and 1,400,523 is: 2,098,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,714 : 1,400,523 = 1,400,523 : x
  2. Step 2: Convert to fraction form
    934,714/1,400,523 = 1,400,523/x
  3. Step 3: Cross multiply
    934,714x = 1,400,523 × 1,400,523
  4. Step 4: Simplify right side
    934,714x = 1,961,464,673,529
  5. Step 5: Solve for x
    x = 1,961,464,673,529/934,714
  6. Step 6: Final answer
    x = 2,098,465.06

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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.