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Finding the Third Proportional to 488,448 and 1,066,464

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Solution

The third proportional to 488,448 and 1,066,464 is: 2,328,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,448 : 1,066,464 = 1,066,464 : x
  2. Step 2: Convert to fraction form
    488,448/1,066,464 = 1,066,464/x
  3. Step 3: Cross multiply
    488,448x = 1,066,464 × 1,066,464
  4. Step 4: Simplify right side
    488,448x = 1,137,345,463,296
  5. Step 5: Solve for x
    x = 1,137,345,463,296/488,448
  6. Step 6: Final answer
    x = 2,328,488.32

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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.