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Finding the Third Proportional to 872,068 and 1,870,223

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Solution

The third proportional to 872,068 and 1,870,223 is: 4,010,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,068 : 1,870,223 = 1,870,223 : x
  2. Step 2: Convert to fraction form
    872,068/1,870,223 = 1,870,223/x
  3. Step 3: Cross multiply
    872,068x = 1,870,223 × 1,870,223
  4. Step 4: Simplify right side
    872,068x = 3,497,734,069,729
  5. Step 5: Solve for x
    x = 3,497,734,069,729/872,068
  6. Step 6: Final answer
    x = 4,010,850.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.