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Finding the Third Proportional to 1,701,577.50 and 2,636,025

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Solution

The third proportional to 1,701,577.50 and 2,636,025 is: 4,083,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701,577.50 : 2,636,025 = 2,636,025 : x
  2. Step 2: Convert to fraction form
    1,701,577.50/2,636,025 = 2,636,025/x
  3. Step 3: Cross multiply
    1,701,577.50x = 2,636,025 × 2,636,025
  4. Step 4: Simplify right side
    1,701,577.50x = 6,948,627,800,625
  5. Step 5: Solve for x
    x = 6,948,627,800,625/1,701,577.50
  6. Step 6: Final answer
    x = 4,083,638.74

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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.