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Finding the Third Proportional to 477,214 and 1,029,152

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Solution

The third proportional to 477,214 and 1,029,152 is: 2,219,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,214 : 1,029,152 = 1,029,152 : x
  2. Step 2: Convert to fraction form
    477,214/1,029,152 = 1,029,152/x
  3. Step 3: Cross multiply
    477,214x = 1,029,152 × 1,029,152
  4. Step 4: Simplify right side
    477,214x = 1,059,153,839,104
  5. Step 5: Solve for x
    x = 1,059,153,839,104/477,214
  6. Step 6: Final answer
    x = 2,219,452.57

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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.