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Finding the Third Proportional to 588,368 and 1,270,024

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Solution

The third proportional to 588,368 and 1,270,024 is: 2,741,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,368 : 1,270,024 = 1,270,024 : x
  2. Step 2: Convert to fraction form
    588,368/1,270,024 = 1,270,024/x
  3. Step 3: Cross multiply
    588,368x = 1,270,024 × 1,270,024
  4. Step 4: Simplify right side
    588,368x = 1,612,960,960,576
  5. Step 5: Solve for x
    x = 1,612,960,960,576/588,368
  6. Step 6: Final answer
    x = 2,741,415.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.