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Finding the Third Proportional to 470,860.88 and 1,021,991.63

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Solution

The third proportional to 470,860.88 and 1,021,991.63 is: 2,218,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,860.88 : 1,021,991.63 = 1,021,991.63 : x
  2. Step 2: Convert to fraction form
    470,860.88/1,021,991.63 = 1,021,991.63/x
  3. Step 3: Cross multiply
    470,860.88x = 1,021,991.63 × 1,021,991.63
  4. Step 4: Simplify right side
    470,860.88x = 1,044,466,881,570.14
  5. Step 5: Solve for x
    x = 1,044,466,881,570.14/470,860.88
  6. Step 6: Final answer
    x = 2,218,206.98

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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.