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Finding the Third Proportional to 471,932,409 and 714,456,212

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Solution

The third proportional to 471,932,409 and 714,456,212 is: 1,081,611,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,932,409 : 714,456,212 = 714,456,212 : x
  2. Step 2: Convert to fraction form
    471,932,409/714,456,212 = 714,456,212/x
  3. Step 3: Cross multiply
    471,932,409x = 714,456,212 × 714,456,212
  4. Step 4: Simplify right side
    471,932,409x = 510,447,678,865,388,928
  5. Step 5: Solve for x
    x = 510,447,678,865,388,928/471,932,409
  6. Step 6: Final answer
    x = 1,081,611,834.94

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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.