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Finding the Third Proportional to 477,113.41 and 1,028,955.02

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Solution

The third proportional to 477,113.41 and 1,028,955.02 is: 2,219,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,113.41 : 1,028,955.02 = 1,028,955.02 : x
  2. Step 2: Convert to fraction form
    477,113.41/1,028,955.02 = 1,028,955.02/x
  3. Step 3: Cross multiply
    477,113.41x = 1,028,955.02 × 1,028,955.02
  4. Step 4: Simplify right side
    477,113.41x = 1,058,748,440,257.27
  5. Step 5: Solve for x
    x = 1,058,748,440,257.27/477,113.41
  6. Step 6: Final answer
    x = 2,219,070.79

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