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Finding the Third Proportional to 471,932,244 and 714,455,964

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Solution

The third proportional to 471,932,244 and 714,455,964 is: 1,081,611,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,932,244 : 714,455,964 = 714,455,964 : x
  2. Step 2: Convert to fraction form
    471,932,244/714,455,964 = 714,455,964/x
  3. Step 3: Cross multiply
    471,932,244x = 714,455,964 × 714,455,964
  4. Step 4: Simplify right side
    471,932,244x = 510,447,324,495,169,280
  5. Step 5: Solve for x
    x = 510,447,324,495,169,280/471,932,244
  6. Step 6: Final answer
    x = 1,081,611,462.21

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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.