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Finding the Third Proportional to 562,464 and 1,191,024

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Solution

The third proportional to 562,464 and 1,191,024 is: 2,522,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,464 : 1,191,024 = 1,191,024 : x
  2. Step 2: Convert to fraction form
    562,464/1,191,024 = 1,191,024/x
  3. Step 3: Cross multiply
    562,464x = 1,191,024 × 1,191,024
  4. Step 4: Simplify right side
    562,464x = 1,418,538,168,576
  5. Step 5: Solve for x
    x = 1,418,538,168,576/562,464
  6. Step 6: Final answer
    x = 2,522,007.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.