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Finding the Third Proportional to 2,071,272 and 4,430,409

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Solution

The third proportional to 2,071,272 and 4,430,409 is: 9,476,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,272 : 4,430,409 = 4,430,409 : x
  2. Step 2: Convert to fraction form
    2,071,272/4,430,409 = 4,430,409/x
  3. Step 3: Cross multiply
    2,071,272x = 4,430,409 × 4,430,409
  4. Step 4: Simplify right side
    2,071,272x = 19,628,523,907,281
  5. Step 5: Solve for x
    x = 19,628,523,907,281/2,071,272
  6. Step 6: Final answer
    x = 9,476,555.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.