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Finding the Third Proportional to 798,470,254 and 1,737,541,217

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Solution

The third proportional to 798,470,254 and 1,737,541,217 is: 3,781,041,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,470,254 : 1,737,541,217 = 1,737,541,217 : x
  2. Step 2: Convert to fraction form
    798,470,254/1,737,541,217 = 1,737,541,217/x
  3. Step 3: Cross multiply
    798,470,254x = 1,737,541,217 × 1,737,541,217
  4. Step 4: Simplify right side
    798,470,254x = 3,019,049,480,773,840,896
  5. Step 5: Solve for x
    x = 3,019,049,480,773,840,896/798,470,254
  6. Step 6: Final answer
    x = 3,781,041,893.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.