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Finding the Third Proportional to 477,210.66 and 1,022,722.03

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Solution

The third proportional to 477,210.66 and 1,022,722.03 is: 2,191,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,210.66 : 1,022,722.03 = 1,022,722.03 : x
  2. Step 2: Convert to fraction form
    477,210.66/1,022,722.03 = 1,022,722.03/x
  3. Step 3: Cross multiply
    477,210.66x = 1,022,722.03 × 1,022,722.03
  4. Step 4: Simplify right side
    477,210.66x = 1,045,960,353,204.13
  5. Step 5: Solve for x
    x = 1,045,960,353,204.13/477,210.66
  6. Step 6: Final answer
    x = 2,191,821.03

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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.