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Finding the Third Proportional to 698,089.50 and 1,120,023

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Solution

The third proportional to 698,089.50 and 1,120,023 is: 1,796,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,089.50 : 1,120,023 = 1,120,023 : x
  2. Step 2: Convert to fraction form
    698,089.50/1,120,023 = 1,120,023/x
  3. Step 3: Cross multiply
    698,089.50x = 1,120,023 × 1,120,023
  4. Step 4: Simplify right side
    698,089.50x = 1,254,451,520,529
  5. Step 5: Solve for x
    x = 1,254,451,520,529/698,089.50
  6. Step 6: Final answer
    x = 1,796,978.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.