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Finding the Third Proportional to 903,920 and 1,239,468

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Solution

The third proportional to 903,920 and 1,239,468 is: 1,699,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,920 : 1,239,468 = 1,239,468 : x
  2. Step 2: Convert to fraction form
    903,920/1,239,468 = 1,239,468/x
  3. Step 3: Cross multiply
    903,920x = 1,239,468 × 1,239,468
  4. Step 4: Simplify right side
    903,920x = 1,536,280,923,024
  5. Step 5: Solve for x
    x = 1,536,280,923,024/903,920
  6. Step 6: Final answer
    x = 1,699,576.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.