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Finding the Third Proportional to 1,620,411.33 and 3,492,039.09

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Solution

The third proportional to 1,620,411.33 and 3,492,039.09 is: 7,525,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,411.33 : 3,492,039.09 = 3,492,039.09 : x
  2. Step 2: Convert to fraction form
    1,620,411.33/3,492,039.09 = 3,492,039.09/x
  3. Step 3: Cross multiply
    1,620,411.33x = 3,492,039.09 × 3,492,039.09
  4. Step 4: Simplify right side
    1,620,411.33x = 12,194,337,032,278.32
  5. Step 5: Solve for x
    x = 12,194,337,032,278.32/1,620,411.33
  6. Step 6: Final answer
    x = 7,525,457.78

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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.