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Finding the Third Proportional to 849,645 and 1,847,205

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Solution

The third proportional to 849,645 and 1,847,205 is: 4,015,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,645 : 1,847,205 = 1,847,205 : x
  2. Step 2: Convert to fraction form
    849,645/1,847,205 = 1,847,205/x
  3. Step 3: Cross multiply
    849,645x = 1,847,205 × 1,847,205
  4. Step 4: Simplify right side
    849,645x = 3,412,166,312,025
  5. Step 5: Solve for x
    x = 3,412,166,312,025/849,645
  6. Step 6: Final answer
    x = 4,015,990.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.