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Finding the Third Proportional to 421,913,984 and 908,630,251

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Solution

The third proportional to 421,913,984 and 908,630,251 is: 1,956,818,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,913,984 : 908,630,251 = 908,630,251 : x
  2. Step 2: Convert to fraction form
    421,913,984/908,630,251 = 908,630,251/x
  3. Step 3: Cross multiply
    421,913,984x = 908,630,251 × 908,630,251
  4. Step 4: Simplify right side
    421,913,984x = 825,608,933,032,322,944
  5. Step 5: Solve for x
    x = 825,608,933,032,322,944/421,913,984
  6. Step 6: Final answer
    x = 1,956,818,129.62

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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.