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Finding the Third Proportional to 771,030 and 1,670,772

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Solution

The third proportional to 771,030 and 1,670,772 is: 3,620,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,030 : 1,670,772 = 1,670,772 : x
  2. Step 2: Convert to fraction form
    771,030/1,670,772 = 1,670,772/x
  3. Step 3: Cross multiply
    771,030x = 1,670,772 × 1,670,772
  4. Step 4: Simplify right side
    771,030x = 2,791,479,075,984
  5. Step 5: Solve for x
    x = 2,791,479,075,984/771,030
  6. Step 6: Final answer
    x = 3,620,454.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.