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Finding the Third Proportional to 421,711.31 and 910,779.19

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Solution

The third proportional to 421,711.31 and 910,779.19 is: 1,967,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,711.31 : 910,779.19 = 910,779.19 : x
  2. Step 2: Convert to fraction form
    421,711.31/910,779.19 = 910,779.19/x
  3. Step 3: Cross multiply
    421,711.31x = 910,779.19 × 910,779.19
  4. Step 4: Simplify right side
    421,711.31x = 829,518,728,383.16
  5. Step 5: Solve for x
    x = 829,518,728,383.16/421,711.31
  6. Step 6: Final answer
    x = 1,967,029.82

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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.