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Finding the Third Proportional to 676,726 and 1,470,044

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Solution

The third proportional to 676,726 and 1,470,044 is: 3,193,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,726 : 1,470,044 = 1,470,044 : x
  2. Step 2: Convert to fraction form
    676,726/1,470,044 = 1,470,044/x
  3. Step 3: Cross multiply
    676,726x = 1,470,044 × 1,470,044
  4. Step 4: Simplify right side
    676,726x = 2,161,029,361,936
  5. Step 5: Solve for x
    x = 2,161,029,361,936/676,726
  6. Step 6: Final answer
    x = 3,193,359.44

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Why These Related Problems?

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