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Finding the Third Proportional to 594,345 and 1,297,014

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Solution

The third proportional to 594,345 and 1,297,014 is: 2,830,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,345 : 1,297,014 = 1,297,014 : x
  2. Step 2: Convert to fraction form
    594,345/1,297,014 = 1,297,014/x
  3. Step 3: Cross multiply
    594,345x = 1,297,014 × 1,297,014
  4. Step 4: Simplify right side
    594,345x = 1,682,245,316,196
  5. Step 5: Solve for x
    x = 1,682,245,316,196/594,345
  6. Step 6: Final answer
    x = 2,830,418.89

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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.