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Finding the Third Proportional to 676,900 and 1,470,514

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Solution

The third proportional to 676,900 and 1,470,514 is: 3,194,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,900 : 1,470,514 = 1,470,514 : x
  2. Step 2: Convert to fraction form
    676,900/1,470,514 = 1,470,514/x
  3. Step 3: Cross multiply
    676,900x = 1,470,514 × 1,470,514
  4. Step 4: Simplify right side
    676,900x = 2,162,411,424,196
  5. Step 5: Solve for x
    x = 2,162,411,424,196/676,900
  6. Step 6: Final answer
    x = 3,194,580.33

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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.