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Finding the Third Proportional to 476,389.50 and 1,021,851.75

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Solution

The third proportional to 476,389.50 and 1,021,851.75 is: 2,191,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,389.50 : 1,021,851.75 = 1,021,851.75 : x
  2. Step 2: Convert to fraction form
    476,389.50/1,021,851.75 = 1,021,851.75/x
  3. Step 3: Cross multiply
    476,389.50x = 1,021,851.75 × 1,021,851.75
  4. Step 4: Simplify right side
    476,389.50x = 1,044,180,998,978.06
  5. Step 5: Solve for x
    x = 1,044,180,998,978.06/476,389.50
  6. Step 6: Final answer
    x = 2,191,864.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.