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Finding the Third Proportional to 902,748.94 and 1,402,327.69

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Solution

The third proportional to 902,748.94 and 1,402,327.69 is: 2,178,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,748.94 : 1,402,327.69 = 1,402,327.69 : x
  2. Step 2: Convert to fraction form
    902,748.94/1,402,327.69 = 1,402,327.69/x
  3. Step 3: Cross multiply
    902,748.94x = 1,402,327.69 × 1,402,327.69
  4. Step 4: Simplify right side
    902,748.94x = 1,966,522,943,129.10
  5. Step 5: Solve for x
    x = 1,966,522,943,129.10/902,748.94
  6. Step 6: Final answer
    x = 2,178,371.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.