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Finding the Third Proportional to 900,075.38 and 1,968,276.38

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Solution

The third proportional to 900,075.38 and 1,968,276.38 is: 4,304,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,075.38 : 1,968,276.38 = 1,968,276.38 : x
  2. Step 2: Convert to fraction form
    900,075.38/1,968,276.38 = 1,968,276.38/x
  3. Step 3: Cross multiply
    900,075.38x = 1,968,276.38 × 1,968,276.38
  4. Step 4: Simplify right side
    900,075.38x = 3,874,111,888,383.14
  5. Step 5: Solve for x
    x = 3,874,111,888,383.14/900,075.38
  6. Step 6: Final answer
    x = 4,304,208.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.