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Finding the Third Proportional to 685,201 and 1,507,090

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Solution

The third proportional to 685,201 and 1,507,090 is: 3,314,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,201 : 1,507,090 = 1,507,090 : x
  2. Step 2: Convert to fraction form
    685,201/1,507,090 = 1,507,090/x
  3. Step 3: Cross multiply
    685,201x = 1,507,090 × 1,507,090
  4. Step 4: Simplify right side
    685,201x = 2,271,320,268,100
  5. Step 5: Solve for x
    x = 2,271,320,268,100/685,201
  6. Step 6: Final answer
    x = 3,314,823.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.