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Finding the Third Proportional to 948,746 and 2,082,072

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Solution

The third proportional to 948,746 and 2,082,072 is: 4,569,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,746 : 2,082,072 = 2,082,072 : x
  2. Step 2: Convert to fraction form
    948,746/2,082,072 = 2,082,072/x
  3. Step 3: Cross multiply
    948,746x = 2,082,072 × 2,082,072
  4. Step 4: Simplify right side
    948,746x = 4,335,023,813,184
  5. Step 5: Solve for x
    x = 4,335,023,813,184/948,746
  6. Step 6: Final answer
    x = 4,569,214.32

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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.