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Finding the Third Proportional to 471,564,290 and 1,014,792,196

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Solution

The third proportional to 471,564,290 and 1,014,792,196 is: 2,183,802,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,564,290 : 1,014,792,196 = 1,014,792,196 : x
  2. Step 2: Convert to fraction form
    471,564,290/1,014,792,196 = 1,014,792,196/x
  3. Step 3: Cross multiply
    471,564,290x = 1,014,792,196 × 1,014,792,196
  4. Step 4: Simplify right side
    471,564,290x = 1,029,803,201,062,502,400
  5. Step 5: Solve for x
    x = 1,029,803,201,062,502,400/471,564,290
  6. Step 6: Final answer
    x = 2,183,802,342.33

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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.