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Finding the Third Proportional to 946,970 and 2,034,484

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Solution

The third proportional to 946,970 and 2,034,484 is: 4,370,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,970 : 2,034,484 = 2,034,484 : x
  2. Step 2: Convert to fraction form
    946,970/2,034,484 = 2,034,484/x
  3. Step 3: Cross multiply
    946,970x = 2,034,484 × 2,034,484
  4. Step 4: Simplify right side
    946,970x = 4,139,125,146,256
  5. Step 5: Solve for x
    x = 4,139,125,146,256/946,970
  6. Step 6: Final answer
    x = 4,370,914.76

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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.