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Finding the Third Proportional to 596,064 and 1,297,248

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Solution

The third proportional to 596,064 and 1,297,248 is: 2,823,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,064 : 1,297,248 = 1,297,248 : x
  2. Step 2: Convert to fraction form
    596,064/1,297,248 = 1,297,248/x
  3. Step 3: Cross multiply
    596,064x = 1,297,248 × 1,297,248
  4. Step 4: Simplify right side
    596,064x = 1,682,852,373,504
  5. Step 5: Solve for x
    x = 1,682,852,373,504/596,064
  6. Step 6: Final answer
    x = 2,823,274.64

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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.