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Finding the Third Proportional to 698,380,400 and 971,042,124

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Solution

The third proportional to 698,380,400 and 971,042,124 is: 1,350,156,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,380,400 : 971,042,124 = 971,042,124 : x
  2. Step 2: Convert to fraction form
    698,380,400/971,042,124 = 971,042,124/x
  3. Step 3: Cross multiply
    698,380,400x = 971,042,124 × 971,042,124
  4. Step 4: Simplify right side
    698,380,400x = 942,922,806,582,431,360
  5. Step 5: Solve for x
    x = 942,922,806,582,431,360/698,380,400
  6. Step 6: Final answer
    x = 1,350,156,457.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.