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Finding the Third Proportional to 1,025,745.71 and 2,374,415.65

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Solution

The third proportional to 1,025,745.71 and 2,374,415.65 is: 5,496,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,745.71 : 2,374,415.65 = 2,374,415.65 : x
  2. Step 2: Convert to fraction form
    1,025,745.71/2,374,415.65 = 2,374,415.65/x
  3. Step 3: Cross multiply
    1,025,745.71x = 2,374,415.65 × 2,374,415.65
  4. Step 4: Simplify right side
    1,025,745.71x = 5,637,849,671,544.87
  5. Step 5: Solve for x
    x = 5,637,849,671,544.87/1,025,745.71
  6. Step 6: Final answer
    x = 5,496,342.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.