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Finding the Third Proportional to 477,207 and 1,029,134.25

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Solution

The third proportional to 477,207 and 1,029,134.25 is: 2,219,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,207 : 1,029,134.25 = 1,029,134.25 : x
  2. Step 2: Convert to fraction form
    477,207/1,029,134.25 = 1,029,134.25/x
  3. Step 3: Cross multiply
    477,207x = 1,029,134.25 × 1,029,134.25
  4. Step 4: Simplify right side
    477,207x = 1,059,117,304,523.06
  5. Step 5: Solve for x
    x = 1,059,117,304,523.06/477,207
  6. Step 6: Final answer
    x = 2,219,408.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.