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Finding the Third Proportional to 929,934 and 1,971,465

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Solution

The third proportional to 929,934 and 1,971,465 is: 4,179,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,934 : 1,971,465 = 1,971,465 : x
  2. Step 2: Convert to fraction form
    929,934/1,971,465 = 1,971,465/x
  3. Step 3: Cross multiply
    929,934x = 1,971,465 × 1,971,465
  4. Step 4: Simplify right side
    929,934x = 3,886,674,246,225
  5. Step 5: Solve for x
    x = 3,886,674,246,225/929,934
  6. Step 6: Final answer
    x = 4,179,516.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.