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Finding the Third Proportional to 473,668 and 1,017,608

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Solution

The third proportional to 473,668 and 1,017,608 is: 2,186,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,668 : 1,017,608 = 1,017,608 : x
  2. Step 2: Convert to fraction form
    473,668/1,017,608 = 1,017,608/x
  3. Step 3: Cross multiply
    473,668x = 1,017,608 × 1,017,608
  4. Step 4: Simplify right side
    473,668x = 1,035,526,041,664
  5. Step 5: Solve for x
    x = 1,035,526,041,664/473,668
  6. Step 6: Final answer
    x = 2,186,185.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.