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Finding the Third Proportional to 830,923 and 1,807,432

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Solution

The third proportional to 830,923 and 1,807,432 is: 3,931,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,923 : 1,807,432 = 1,807,432 : x
  2. Step 2: Convert to fraction form
    830,923/1,807,432 = 1,807,432/x
  3. Step 3: Cross multiply
    830,923x = 1,807,432 × 1,807,432
  4. Step 4: Simplify right side
    830,923x = 3,266,810,434,624
  5. Step 5: Solve for x
    x = 3,266,810,434,624/830,923
  6. Step 6: Final answer
    x = 3,931,544.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.