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Finding the Third Proportional to 471,932,406 and 714,456,207

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Solution

The third proportional to 471,932,406 and 714,456,207 is: 1,081,611,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,932,406 : 714,456,207 = 714,456,207 : x
  2. Step 2: Convert to fraction form
    471,932,406/714,456,207 = 714,456,207/x
  3. Step 3: Cross multiply
    471,932,406x = 714,456,207 × 714,456,207
  4. Step 4: Simplify right side
    471,932,406x = 510,447,671,720,826,880
  5. Step 5: Solve for x
    x = 510,447,671,720,826,880/471,932,406
  6. Step 6: Final answer
    x = 1,081,611,826.68

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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.