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Finding the Third Proportional to 4,674,174 and 6,992,580

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Solution

The third proportional to 4,674,174 and 6,992,580 is: 10,460,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,174 : 6,992,580 = 6,992,580 : x
  2. Step 2: Convert to fraction form
    4,674,174/6,992,580 = 6,992,580/x
  3. Step 3: Cross multiply
    4,674,174x = 6,992,580 × 6,992,580
  4. Step 4: Simplify right side
    4,674,174x = 48,896,175,056,400
  5. Step 5: Solve for x
    x = 48,896,175,056,400/4,674,174
  6. Step 6: Final answer
    x = 10,460,923.16

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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.