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Finding the Third Proportional to 967,547 and 2,063,416

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Solution

The third proportional to 967,547 and 2,063,416 is: 4,400,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,547 : 2,063,416 = 2,063,416 : x
  2. Step 2: Convert to fraction form
    967,547/2,063,416 = 2,063,416/x
  3. Step 3: Cross multiply
    967,547x = 2,063,416 × 2,063,416
  4. Step 4: Simplify right side
    967,547x = 4,257,685,589,056
  5. Step 5: Solve for x
    x = 4,257,685,589,056/967,547
  6. Step 6: Final answer
    x = 4,400,494.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.