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Finding the Third Proportional to 675,283 and 1,030,074

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Solution

The third proportional to 675,283 and 1,030,074 is: 1,571,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,283 : 1,030,074 = 1,030,074 : x
  2. Step 2: Convert to fraction form
    675,283/1,030,074 = 1,030,074/x
  3. Step 3: Cross multiply
    675,283x = 1,030,074 × 1,030,074
  4. Step 4: Simplify right side
    675,283x = 1,061,052,445,476
  5. Step 5: Solve for x
    x = 1,061,052,445,476/675,283
  6. Step 6: Final answer
    x = 1,571,270.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.