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Finding the Third Proportional to 1,138,102.50 and 2,381,430

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Solution

The third proportional to 1,138,102.50 and 2,381,430 is: 4,983,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,102.50 : 2,381,430 = 2,381,430 : x
  2. Step 2: Convert to fraction form
    1,138,102.50/2,381,430 = 2,381,430/x
  3. Step 3: Cross multiply
    1,138,102.50x = 2,381,430 × 2,381,430
  4. Step 4: Simplify right side
    1,138,102.50x = 5,671,208,844,900
  5. Step 5: Solve for x
    x = 5,671,208,844,900/1,138,102.50
  6. Step 6: Final answer
    x = 4,983,038.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.