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Finding the Third Proportional to 1,209,207 and 1,807,492.50

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Solution

The third proportional to 1,209,207 and 1,807,492.50 is: 2,701,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,207 : 1,807,492.50 = 1,807,492.50 : x
  2. Step 2: Convert to fraction form
    1,209,207/1,807,492.50 = 1,807,492.50/x
  3. Step 3: Cross multiply
    1,209,207x = 1,807,492.50 × 1,807,492.50
  4. Step 4: Simplify right side
    1,209,207x = 3,267,029,137,556.25
  5. Step 5: Solve for x
    x = 3,267,029,137,556.25/1,209,207
  6. Step 6: Final answer
    x = 2,701,794.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.