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Finding the Third Proportional to 1,970,430 and 4,264,705

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Solution

The third proportional to 1,970,430 and 4,264,705 is: 9,230,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,430 : 4,264,705 = 4,264,705 : x
  2. Step 2: Convert to fraction form
    1,970,430/4,264,705 = 4,264,705/x
  3. Step 3: Cross multiply
    1,970,430x = 4,264,705 × 4,264,705
  4. Step 4: Simplify right side
    1,970,430x = 18,187,708,737,025
  5. Step 5: Solve for x
    x = 18,187,708,737,025/1,970,430
  6. Step 6: Final answer
    x = 9,230,324.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.