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Finding the Third Proportional to 2,137,783.50 and 3,209,490

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Solution

The third proportional to 2,137,783.50 and 3,209,490 is: 4,818,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,783.50 : 3,209,490 = 3,209,490 : x
  2. Step 2: Convert to fraction form
    2,137,783.50/3,209,490 = 3,209,490/x
  3. Step 3: Cross multiply
    2,137,783.50x = 3,209,490 × 3,209,490
  4. Step 4: Simplify right side
    2,137,783.50x = 10,300,826,060,100
  5. Step 5: Solve for x
    x = 10,300,826,060,100/2,137,783.50
  6. Step 6: Final answer
    x = 4,818,460.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.