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Finding the Third Proportional to 1,209,680.50 and 1,856,503.50

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Solution

The third proportional to 1,209,680.50 and 1,856,503.50 is: 2,849,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,680.50 : 1,856,503.50 = 1,856,503.50 : x
  2. Step 2: Convert to fraction form
    1,209,680.50/1,856,503.50 = 1,856,503.50/x
  3. Step 3: Cross multiply
    1,209,680.50x = 1,856,503.50 × 1,856,503.50
  4. Step 4: Simplify right side
    1,209,680.50x = 3,446,605,245,512.25
  5. Step 5: Solve for x
    x = 3,446,605,245,512.25/1,209,680.50
  6. Step 6: Final answer
    x = 2,849,186.41

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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.