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Finding the Third Proportional to 597,024 and 1,307,448

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Solution

The third proportional to 597,024 and 1,307,448 is: 2,863,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,024 : 1,307,448 = 1,307,448 : x
  2. Step 2: Convert to fraction form
    597,024/1,307,448 = 1,307,448/x
  3. Step 3: Cross multiply
    597,024x = 1,307,448 × 1,307,448
  4. Step 4: Simplify right side
    597,024x = 1,709,420,272,704
  5. Step 5: Solve for x
    x = 1,709,420,272,704/597,024
  6. Step 6: Final answer
    x = 2,863,235.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.