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Finding the Third Proportional to 974,800 and 2,137,914

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Solution

The third proportional to 974,800 and 2,137,914 is: 4,688,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,800 : 2,137,914 = 2,137,914 : x
  2. Step 2: Convert to fraction form
    974,800/2,137,914 = 2,137,914/x
  3. Step 3: Cross multiply
    974,800x = 2,137,914 × 2,137,914
  4. Step 4: Simplify right side
    974,800x = 4,570,676,271,396
  5. Step 5: Solve for x
    x = 4,570,676,271,396/974,800
  6. Step 6: Final answer
    x = 4,688,834.91

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Why These Related Problems?

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