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Finding the Third Proportional to 471,564,314 and 1,014,792,244

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Solution

The third proportional to 471,564,314 and 1,014,792,244 is: 2,183,802,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,564,314 : 1,014,792,244 = 1,014,792,244 : x
  2. Step 2: Convert to fraction form
    471,564,314/1,014,792,244 = 1,014,792,244/x
  3. Step 3: Cross multiply
    471,564,314x = 1,014,792,244 × 1,014,792,244
  4. Step 4: Simplify right side
    471,564,314x = 1,029,803,298,482,555,520
  5. Step 5: Solve for x
    x = 1,029,803,298,482,555,520/471,564,314
  6. Step 6: Final answer
    x = 2,183,802,437.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.