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Finding the Third Proportional to 462,324,117 and 697,405,280

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Solution

The third proportional to 462,324,117 and 697,405,280 is: 1,052,019,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,324,117 : 697,405,280 = 697,405,280 : x
  2. Step 2: Convert to fraction form
    462,324,117/697,405,280 = 697,405,280/x
  3. Step 3: Cross multiply
    462,324,117x = 697,405,280 × 697,405,280
  4. Step 4: Simplify right side
    462,324,117x = 486,374,124,571,878,400
  5. Step 5: Solve for x
    x = 486,374,124,571,878,400/462,324,117
  6. Step 6: Final answer
    x = 1,052,019,798.85

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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.