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Finding the Third Proportional to 676,749,148 and 1,019,604,234

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Solution

The third proportional to 676,749,148 and 1,019,604,234 is: 1,536,156,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,749,148 : 1,019,604,234 = 1,019,604,234 : x
  2. Step 2: Convert to fraction form
    676,749,148/1,019,604,234 = 1,019,604,234/x
  3. Step 3: Cross multiply
    676,749,148x = 1,019,604,234 × 1,019,604,234
  4. Step 4: Simplify right side
    676,749,148x = 1,039,592,793,990,726,784
  5. Step 5: Solve for x
    x = 1,039,592,793,990,726,784/676,749,148
  6. Step 6: Final answer
    x = 1,536,156,782.85

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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.