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Finding the Third Proportional to 471,932,246 and 714,455,967

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Solution

The third proportional to 471,932,246 and 714,455,967 is: 1,081,611,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,932,246 : 714,455,967 = 714,455,967 : x
  2. Step 2: Convert to fraction form
    471,932,246/714,455,967 = 714,455,967/x
  3. Step 3: Cross multiply
    471,932,246x = 714,455,967 × 714,455,967
  4. Step 4: Simplify right side
    471,932,246x = 510,447,328,781,905,088
  5. Step 5: Solve for x
    x = 510,447,328,781,905,088/471,932,246
  6. Step 6: Final answer
    x = 1,081,611,466.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.