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Finding the Third Proportional to 1,214,733.38 and 2,657,594.63

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Solution

The third proportional to 1,214,733.38 and 2,657,594.63 is: 5,814,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,733.38 : 2,657,594.63 = 2,657,594.63 : x
  2. Step 2: Convert to fraction form
    1,214,733.38/2,657,594.63 = 2,657,594.63/x
  3. Step 3: Cross multiply
    1,214,733.38x = 2,657,594.63 × 2,657,594.63
  4. Step 4: Simplify right side
    1,214,733.38x = 7,062,809,190,828.89
  5. Step 5: Solve for x
    x = 7,062,809,190,828.89/1,214,733.38
  6. Step 6: Final answer
    x = 5,814,287.59

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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.