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Finding the Third Proportional to 1,709,510.63 and 3,656,189.25

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Solution

The third proportional to 1,709,510.63 and 3,656,189.25 is: 7,819,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,510.63 : 3,656,189.25 = 3,656,189.25 : x
  2. Step 2: Convert to fraction form
    1,709,510.63/3,656,189.25 = 3,656,189.25/x
  3. Step 3: Cross multiply
    1,709,510.63x = 3,656,189.25 × 3,656,189.25
  4. Step 4: Simplify right side
    1,709,510.63x = 13,367,719,831,815.56
  5. Step 5: Solve for x
    x = 13,367,719,831,815.56/1,709,510.63
  6. Step 6: Final answer
    x = 7,819,617.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.