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Finding the Third Proportional to 447,576 and 973,854

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Solution

The third proportional to 447,576 and 973,854 is: 2,118,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,576 : 973,854 = 973,854 : x
  2. Step 2: Convert to fraction form
    447,576/973,854 = 973,854/x
  3. Step 3: Cross multiply
    447,576x = 973,854 × 973,854
  4. Step 4: Simplify right side
    447,576x = 948,391,613,316
  5. Step 5: Solve for x
    x = 948,391,613,316/447,576
  6. Step 6: Final answer
    x = 2,118,951.00

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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.