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Finding the Third Proportional to 614,083,274 and 878,146,251

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Solution

The third proportional to 614,083,274 and 878,146,251 is: 1,255,759,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,083,274 : 878,146,251 = 878,146,251 : x
  2. Step 2: Convert to fraction form
    614,083,274/878,146,251 = 878,146,251/x
  3. Step 3: Cross multiply
    614,083,274x = 878,146,251 × 878,146,251
  4. Step 4: Simplify right side
    614,083,274x = 771,140,838,145,355,008
  5. Step 5: Solve for x
    x = 771,140,838,145,355,008/614,083,274
  6. Step 6: Final answer
    x = 1,255,759,390.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.