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Finding the Third Proportional to 1,921,402.50 and 4,127,722.50

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Solution

The third proportional to 1,921,402.50 and 4,127,722.50 is: 8,867,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,402.50 : 4,127,722.50 = 4,127,722.50 : x
  2. Step 2: Convert to fraction form
    1,921,402.50/4,127,722.50 = 4,127,722.50/x
  3. Step 3: Cross multiply
    1,921,402.50x = 4,127,722.50 × 4,127,722.50
  4. Step 4: Simplify right side
    1,921,402.50x = 17,038,093,037,006.25
  5. Step 5: Solve for x
    x = 17,038,093,037,006.25/1,921,402.50
  6. Step 6: Final answer
    x = 8,867,529.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.