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Finding the Third Proportional to 840,943 and 1,974,245.50

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Solution

The third proportional to 840,943 and 1,974,245.50 is: 4,634,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,943 : 1,974,245.50 = 1,974,245.50 : x
  2. Step 2: Convert to fraction form
    840,943/1,974,245.50 = 1,974,245.50/x
  3. Step 3: Cross multiply
    840,943x = 1,974,245.50 × 1,974,245.50
  4. Step 4: Simplify right side
    840,943x = 3,897,645,294,270.25
  5. Step 5: Solve for x
    x = 3,897,645,294,270.25/840,943
  6. Step 6: Final answer
    x = 4,634,850.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.