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Finding the Third Proportional to 862,734 and 1,874,506

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Solution

The third proportional to 862,734 and 1,874,506 is: 4,072,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,734 : 1,874,506 = 1,874,506 : x
  2. Step 2: Convert to fraction form
    862,734/1,874,506 = 1,874,506/x
  3. Step 3: Cross multiply
    862,734x = 1,874,506 × 1,874,506
  4. Step 4: Simplify right side
    862,734x = 3,513,772,744,036
  5. Step 5: Solve for x
    x = 3,513,772,744,036/862,734
  6. Step 6: Final answer
    x = 4,072,834.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.