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Finding the Third Proportional to 788,201 and 1,639,303

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Solution

The third proportional to 788,201 and 1,639,303 is: 3,409,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,201 : 1,639,303 = 1,639,303 : x
  2. Step 2: Convert to fraction form
    788,201/1,639,303 = 1,639,303/x
  3. Step 3: Cross multiply
    788,201x = 1,639,303 × 1,639,303
  4. Step 4: Simplify right side
    788,201x = 2,687,314,325,809
  5. Step 5: Solve for x
    x = 2,687,314,325,809/788,201
  6. Step 6: Final answer
    x = 3,409,427.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.