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Finding the Third Proportional to 441,672 and 953,316

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Solution

The third proportional to 441,672 and 953,316 is: 2,057,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,672 : 953,316 = 953,316 : x
  2. Step 2: Convert to fraction form
    441,672/953,316 = 953,316/x
  3. Step 3: Cross multiply
    441,672x = 953,316 × 953,316
  4. Step 4: Simplify right side
    441,672x = 908,811,395,856
  5. Step 5: Solve for x
    x = 908,811,395,856/441,672
  6. Step 6: Final answer
    x = 2,057,661.33

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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.