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Finding the Third Proportional to 794,014 and 1,874,102

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Solution

The third proportional to 794,014 and 1,874,102 is: 4,423,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,014 : 1,874,102 = 1,874,102 : x
  2. Step 2: Convert to fraction form
    794,014/1,874,102 = 1,874,102/x
  3. Step 3: Cross multiply
    794,014x = 1,874,102 × 1,874,102
  4. Step 4: Simplify right side
    794,014x = 3,512,258,306,404
  5. Step 5: Solve for x
    x = 3,512,258,306,404/794,014
  6. Step 6: Final answer
    x = 4,423,421.13

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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.