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Finding the Third Proportional to 1,119,380.34 and 1,688,434.03

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Solution

The third proportional to 1,119,380.34 and 1,688,434.03 is: 2,546,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,380.34 : 1,688,434.03 = 1,688,434.03 : x
  2. Step 2: Convert to fraction form
    1,119,380.34/1,688,434.03 = 1,688,434.03/x
  3. Step 3: Cross multiply
    1,119,380.34x = 1,688,434.03 × 1,688,434.03
  4. Step 4: Simplify right side
    1,119,380.34x = 2,850,809,477,883.13
  5. Step 5: Solve for x
    x = 2,850,809,477,883.13/1,119,380.34
  6. Step 6: Final answer
    x = 2,546,774.65

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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.