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Finding the Third Proportional to 693,486,328 and 1,046,108,163

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Solution

The third proportional to 693,486,328 and 1,046,108,163 is: 1,578,030,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,486,328 : 1,046,108,163 = 1,046,108,163 : x
  2. Step 2: Convert to fraction form
    693,486,328/1,046,108,163 = 1,046,108,163/x
  3. Step 3: Cross multiply
    693,486,328x = 1,046,108,163 × 1,046,108,163
  4. Step 4: Simplify right side
    693,486,328x = 1,094,342,288,695,234,560
  5. Step 5: Solve for x
    x = 1,094,342,288,695,234,560/693,486,328
  6. Step 6: Final answer
    x = 1,578,030,084.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.