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Finding the Third Proportional to 1,099,392.50 and 1,681,783

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Solution

The third proportional to 1,099,392.50 and 1,681,783 is: 2,572,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,392.50 : 1,681,783 = 1,681,783 : x
  2. Step 2: Convert to fraction form
    1,099,392.50/1,681,783 = 1,681,783/x
  3. Step 3: Cross multiply
    1,099,392.50x = 1,681,783 × 1,681,783
  4. Step 4: Simplify right side
    1,099,392.50x = 2,828,394,059,089
  5. Step 5: Solve for x
    x = 2,828,394,059,089/1,099,392.50
  6. Step 6: Final answer
    x = 2,572,688.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.