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Finding the Third Proportional to 983,309.25 and 2,139,664.50

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Solution

The third proportional to 983,309.25 and 2,139,664.50 is: 4,655,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,309.25 : 2,139,664.50 = 2,139,664.50 : x
  2. Step 2: Convert to fraction form
    983,309.25/2,139,664.50 = 2,139,664.50/x
  3. Step 3: Cross multiply
    983,309.25x = 2,139,664.50 × 2,139,664.50
  4. Step 4: Simplify right side
    983,309.25x = 4,578,164,172,560.25
  5. Step 5: Solve for x
    x = 4,578,164,172,560.25/983,309.25
  6. Step 6: Final answer
    x = 4,655,874.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.