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Finding the Third Proportional to 523,206 and 1,130,040

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Solution

The third proportional to 523,206 and 1,130,040 is: 2,440,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,206 : 1,130,040 = 1,130,040 : x
  2. Step 2: Convert to fraction form
    523,206/1,130,040 = 1,130,040/x
  3. Step 3: Cross multiply
    523,206x = 1,130,040 × 1,130,040
  4. Step 4: Simplify right side
    523,206x = 1,276,990,401,600
  5. Step 5: Solve for x
    x = 1,276,990,401,600/523,206
  6. Step 6: Final answer
    x = 2,440,702.90

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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.