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Finding the Third Proportional to 471,564,298 and 1,014,792,212

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Solution

The third proportional to 471,564,298 and 1,014,792,212 is: 2,183,802,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,564,298 : 1,014,792,212 = 1,014,792,212 : x
  2. Step 2: Convert to fraction form
    471,564,298/1,014,792,212 = 1,014,792,212/x
  3. Step 3: Cross multiply
    471,564,298x = 1,014,792,212 × 1,014,792,212
  4. Step 4: Simplify right side
    471,564,298x = 1,029,803,233,535,852,928
  5. Step 5: Solve for x
    x = 1,029,803,233,535,852,928/471,564,298
  6. Step 6: Final answer
    x = 2,183,802,374.15

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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.