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Finding the Third Proportional to 453,289 and 986,646

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Solution

The third proportional to 453,289 and 986,646 is: 2,147,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,289 : 986,646 = 986,646 : x
  2. Step 2: Convert to fraction form
    453,289/986,646 = 986,646/x
  3. Step 3: Cross multiply
    453,289x = 986,646 × 986,646
  4. Step 4: Simplify right side
    453,289x = 973,470,329,316
  5. Step 5: Solve for x
    x = 973,470,329,316/453,289
  6. Step 6: Final answer
    x = 2,147,571.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.