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Finding the Third Proportional to 1,544,209 and 2,328,465

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Solution

The third proportional to 1,544,209 and 2,328,465 is: 3,511,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544,209 : 2,328,465 = 2,328,465 : x
  2. Step 2: Convert to fraction form
    1,544,209/2,328,465 = 2,328,465/x
  3. Step 3: Cross multiply
    1,544,209x = 2,328,465 × 2,328,465
  4. Step 4: Simplify right side
    1,544,209x = 5,421,749,256,225
  5. Step 5: Solve for x
    x = 5,421,749,256,225/1,544,209
  6. Step 6: Final answer
    x = 3,511,020.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.