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Finding the Third Proportional to 1,050,512 and 2,048,534

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Solution

The third proportional to 1,050,512 and 2,048,534 is: 3,994,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,512 : 2,048,534 = 2,048,534 : x
  2. Step 2: Convert to fraction form
    1,050,512/2,048,534 = 2,048,534/x
  3. Step 3: Cross multiply
    1,050,512x = 2,048,534 × 2,048,534
  4. Step 4: Simplify right side
    1,050,512x = 4,196,491,549,156
  5. Step 5: Solve for x
    x = 4,196,491,549,156/1,050,512
  6. Step 6: Final answer
    x = 3,994,710.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.