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Finding the Third Proportional to 946,944 and 2,034,432

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Solution

The third proportional to 946,944 and 2,034,432 is: 4,370,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,944 : 2,034,432 = 2,034,432 : x
  2. Step 2: Convert to fraction form
    946,944/2,034,432 = 2,034,432/x
  3. Step 3: Cross multiply
    946,944x = 2,034,432 × 2,034,432
  4. Step 4: Simplify right side
    946,944x = 4,138,913,562,624
  5. Step 5: Solve for x
    x = 4,138,913,562,624/946,944
  6. Step 6: Final answer
    x = 4,370,811.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.