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Finding the Third Proportional to 1,709,506 and 3,656,180

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Solution

The third proportional to 1,709,506 and 3,656,180 is: 7,819,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,506 : 3,656,180 = 3,656,180 : x
  2. Step 2: Convert to fraction form
    1,709,506/3,656,180 = 3,656,180/x
  3. Step 3: Cross multiply
    1,709,506x = 3,656,180 × 3,656,180
  4. Step 4: Simplify right side
    1,709,506x = 13,367,652,192,400
  5. Step 5: Solve for x
    x = 13,367,652,192,400/1,709,506
  6. Step 6: Final answer
    x = 7,819,599.46

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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.