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Finding the Third Proportional to 1,989,623.25 and 4,262,907.23

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Solution

The third proportional to 1,989,623.25 and 4,262,907.23 is: 9,133,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989,623.25 : 4,262,907.23 = 4,262,907.23 : x
  2. Step 2: Convert to fraction form
    1,989,623.25/4,262,907.23 = 4,262,907.23/x
  3. Step 3: Cross multiply
    1,989,623.25x = 4,262,907.23 × 4,262,907.23
  4. Step 4: Simplify right side
    1,989,623.25x = 18,172,378,088,886.71
  5. Step 5: Solve for x
    x = 18,172,378,088,886.71/1,989,623.25
  6. Step 6: Final answer
    x = 9,133,577.47

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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.