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Finding the Third Proportional to 1,636,898.50 and 2,477,984

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Solution

The third proportional to 1,636,898.50 and 2,477,984 is: 3,751,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,898.50 : 2,477,984 = 2,477,984 : x
  2. Step 2: Convert to fraction form
    1,636,898.50/2,477,984 = 2,477,984/x
  3. Step 3: Cross multiply
    1,636,898.50x = 2,477,984 × 2,477,984
  4. Step 4: Simplify right side
    1,636,898.50x = 6,140,404,704,256
  5. Step 5: Solve for x
    x = 6,140,404,704,256/1,636,898.50
  6. Step 6: Final answer
    x = 3,751,243.41

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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.