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Finding the Third Proportional to 1,025,751.38 and 2,374,430.63

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Solution

The third proportional to 1,025,751.38 and 2,374,430.63 is: 5,496,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,751.38 : 2,374,430.63 = 2,374,430.63 : x
  2. Step 2: Convert to fraction form
    1,025,751.38/2,374,430.63 = 2,374,430.63/x
  3. Step 3: Cross multiply
    1,025,751.38x = 2,374,430.63 × 2,374,430.63
  4. Step 4: Simplify right side
    1,025,751.38x = 5,637,920,792,937.89
  5. Step 5: Solve for x
    x = 5,637,920,792,937.89/1,025,751.38
  6. Step 6: Final answer
    x = 5,496,381.41

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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.