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Finding the Third Proportional to 650,548 and 1,409,696

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Solution

The third proportional to 650,548 and 1,409,696 is: 3,054,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,548 : 1,409,696 = 1,409,696 : x
  2. Step 2: Convert to fraction form
    650,548/1,409,696 = 1,409,696/x
  3. Step 3: Cross multiply
    650,548x = 1,409,696 × 1,409,696
  4. Step 4: Simplify right side
    650,548x = 1,987,242,812,416
  5. Step 5: Solve for x
    x = 1,987,242,812,416/650,548
  6. Step 6: Final answer
    x = 3,054,721.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.