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Finding the Third Proportional to 477,299 and 1,029,316

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Solution

The third proportional to 477,299 and 1,029,316 is: 2,219,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,299 : 1,029,316 = 1,029,316 : x
  2. Step 2: Convert to fraction form
    477,299/1,029,316 = 1,029,316/x
  3. Step 3: Cross multiply
    477,299x = 1,029,316 × 1,029,316
  4. Step 4: Simplify right side
    477,299x = 1,059,491,427,856
  5. Step 5: Solve for x
    x = 1,059,491,427,856/477,299
  6. Step 6: Final answer
    x = 2,219,764.61

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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.