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Finding the Third Proportional to 983,072 and 2,140,960

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Solution

The third proportional to 983,072 and 2,140,960 is: 4,662,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,072 : 2,140,960 = 2,140,960 : x
  2. Step 2: Convert to fraction form
    983,072/2,140,960 = 2,140,960/x
  3. Step 3: Cross multiply
    983,072x = 2,140,960 × 2,140,960
  4. Step 4: Simplify right side
    983,072x = 4,583,709,721,600
  5. Step 5: Solve for x
    x = 4,583,709,721,600/983,072
  6. Step 6: Final answer
    x = 4,662,638.87

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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.