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Finding the Third Proportional to 383,097 and 824,646

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Solution

The third proportional to 383,097 and 824,646 is: 1,775,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,097 : 824,646 = 824,646 : x
  2. Step 2: Convert to fraction form
    383,097/824,646 = 824,646/x
  3. Step 3: Cross multiply
    383,097x = 824,646 × 824,646
  4. Step 4: Simplify right side
    383,097x = 680,041,025,316
  5. Step 5: Solve for x
    x = 680,041,025,316/383,097
  6. Step 6: Final answer
    x = 1,775,114.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.