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Finding the Third Proportional to 477,361.88 and 1,029,457.88

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Solution

The third proportional to 477,361.88 and 1,029,457.88 is: 2,220,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,361.88 : 1,029,457.88 = 1,029,457.88 : x
  2. Step 2: Convert to fraction form
    477,361.88/1,029,457.88 = 1,029,457.88/x
  3. Step 3: Cross multiply
    477,361.88x = 1,029,457.88 × 1,029,457.88
  4. Step 4: Simplify right side
    477,361.88x = 1,059,783,516,399.52
  5. Step 5: Solve for x
    x = 1,059,783,516,399.52/477,361.88
  6. Step 6: Final answer
    x = 2,220,084.12

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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.