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Finding the Third Proportional to 453,195 and 953,046

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Solution

The third proportional to 453,195 and 953,046 is: 2,004,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,195 : 953,046 = 953,046 : x
  2. Step 2: Convert to fraction form
    453,195/953,046 = 953,046/x
  3. Step 3: Cross multiply
    453,195x = 953,046 × 953,046
  4. Step 4: Simplify right side
    453,195x = 908,296,678,116
  5. Step 5: Solve for x
    x = 908,296,678,116/453,195
  6. Step 6: Final answer
    x = 2,004,207.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.