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Finding the Third Proportional to 1,338,075.70 and 2,154,506.34

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Solution

The third proportional to 1,338,075.70 and 2,154,506.34 is: 3,469,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,075.70 : 2,154,506.34 = 2,154,506.34 : x
  2. Step 2: Convert to fraction form
    1,338,075.70/2,154,506.34 = 2,154,506.34/x
  3. Step 3: Cross multiply
    1,338,075.70x = 2,154,506.34 × 2,154,506.34
  4. Step 4: Simplify right side
    1,338,075.70x = 4,641,897,585,258.99
  5. Step 5: Solve for x
    x = 4,641,897,585,258.99/1,338,075.70
  6. Step 6: Final answer
    x = 3,469,084.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.