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Finding the Third Proportional to 1,264,783.50 and 2,985,594.75

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Solution

The third proportional to 1,264,783.50 and 2,985,594.75 is: 7,047,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,783.50 : 2,985,594.75 = 2,985,594.75 : x
  2. Step 2: Convert to fraction form
    1,264,783.50/2,985,594.75 = 2,985,594.75/x
  3. Step 3: Cross multiply
    1,264,783.50x = 2,985,594.75 × 2,985,594.75
  4. Step 4: Simplify right side
    1,264,783.50x = 8,913,776,011,227.56
  5. Step 5: Solve for x
    x = 8,913,776,011,227.56/1,264,783.50
  6. Step 6: Final answer
    x = 7,047,669.43

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.