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Finding the Third Proportional to 676,924 and 1,470,558

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Solution

The third proportional to 676,924 and 1,470,558 is: 3,194,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,924 : 1,470,558 = 1,470,558 : x
  2. Step 2: Convert to fraction form
    676,924/1,470,558 = 1,470,558/x
  3. Step 3: Cross multiply
    676,924x = 1,470,558 × 1,470,558
  4. Step 4: Simplify right side
    676,924x = 2,162,540,831,364
  5. Step 5: Solve for x
    x = 2,162,540,831,364/676,924
  6. Step 6: Final answer
    x = 3,194,658.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.