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Finding the Third Proportional to 974,826 and 2,137,986

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Solution

The third proportional to 974,826 and 2,137,986 is: 4,689,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,826 : 2,137,986 = 2,137,986 : x
  2. Step 2: Convert to fraction form
    974,826/2,137,986 = 2,137,986/x
  3. Step 3: Cross multiply
    974,826x = 2,137,986 × 2,137,986
  4. Step 4: Simplify right side
    974,826x = 4,570,984,136,196
  5. Step 5: Solve for x
    x = 4,570,984,136,196/974,826
  6. Step 6: Final answer
    x = 4,689,025.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.