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Finding the Third Proportional to 1,428,780.09 and 2,036,745.84

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Solution

The third proportional to 1,428,780.09 and 2,036,745.84 is: 2,903,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,780.09 : 2,036,745.84 = 2,036,745.84 : x
  2. Step 2: Convert to fraction form
    1,428,780.09/2,036,745.84 = 2,036,745.84/x
  3. Step 3: Cross multiply
    1,428,780.09x = 2,036,745.84 × 2,036,745.84
  4. Step 4: Simplify right side
    1,428,780.09x = 4,148,333,632,032.90
  5. Step 5: Solve for x
    x = 4,148,333,632,032.90/1,428,780.09
  6. Step 6: Final answer
    x = 2,903,409.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.