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Finding the Third Proportional to 470,470 and 1,018,698

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Solution

The third proportional to 470,470 and 1,018,698 is: 2,205,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,470 : 1,018,698 = 1,018,698 : x
  2. Step 2: Convert to fraction form
    470,470/1,018,698 = 1,018,698/x
  3. Step 3: Cross multiply
    470,470x = 1,018,698 × 1,018,698
  4. Step 4: Simplify right side
    470,470x = 1,037,745,615,204
  5. Step 5: Solve for x
    x = 1,037,745,615,204/470,470
  6. Step 6: Final answer
    x = 2,205,763.63

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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.