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Finding the Third Proportional to 2,068,416 and 3,034,464

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Solution

The third proportional to 2,068,416 and 3,034,464 is: 4,451,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,416 : 3,034,464 = 3,034,464 : x
  2. Step 2: Convert to fraction form
    2,068,416/3,034,464 = 3,034,464/x
  3. Step 3: Cross multiply
    2,068,416x = 3,034,464 × 3,034,464
  4. Step 4: Simplify right side
    2,068,416x = 9,207,971,767,296
  5. Step 5: Solve for x
    x = 9,207,971,767,296/2,068,416
  6. Step 6: Final answer
    x = 4,451,702.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.