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Finding the Third Proportional to 780,870.38 and 1,583,474.06

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Solution

The third proportional to 780,870.38 and 1,583,474.06 is: 3,211,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,870.38 : 1,583,474.06 = 1,583,474.06 : x
  2. Step 2: Convert to fraction form
    780,870.38/1,583,474.06 = 1,583,474.06/x
  3. Step 3: Cross multiply
    780,870.38x = 1,583,474.06 × 1,583,474.06
  4. Step 4: Simplify right side
    780,870.38x = 2,507,390,106,610.25
  5. Step 5: Solve for x
    x = 2,507,390,106,610.25/780,870.38
  6. Step 6: Final answer
    x = 3,211,019.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.