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Finding the Third Proportional to 1,675,492.59 and 2,589,063.43

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Solution

The third proportional to 1,675,492.59 and 2,589,063.43 is: 4,000,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,492.59 : 2,589,063.43 = 2,589,063.43 : x
  2. Step 2: Convert to fraction form
    1,675,492.59/2,589,063.43 = 2,589,063.43/x
  3. Step 3: Cross multiply
    1,675,492.59x = 2,589,063.43 × 2,589,063.43
  4. Step 4: Simplify right side
    1,675,492.59x = 6,703,249,463,172.52
  5. Step 5: Solve for x
    x = 6,703,249,463,172.52/1,675,492.59
  6. Step 6: Final answer
    x = 4,000,763.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.