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Finding the Third Proportional to 974,742 and 2,173,611

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Solution

The third proportional to 974,742 and 2,173,611 is: 4,847,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,742 : 2,173,611 = 2,173,611 : x
  2. Step 2: Convert to fraction form
    974,742/2,173,611 = 2,173,611/x
  3. Step 3: Cross multiply
    974,742x = 2,173,611 × 2,173,611
  4. Step 4: Simplify right side
    974,742x = 4,724,584,779,321
  5. Step 5: Solve for x
    x = 4,724,584,779,321/974,742
  6. Step 6: Final answer
    x = 4,847,010.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.