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Finding the Third Proportional to 763,672.50 and 1,604,133

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Solution

The third proportional to 763,672.50 and 1,604,133 is: 3,369,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,672.50 : 1,604,133 = 1,604,133 : x
  2. Step 2: Convert to fraction form
    763,672.50/1,604,133 = 1,604,133/x
  3. Step 3: Cross multiply
    763,672.50x = 1,604,133 × 1,604,133
  4. Step 4: Simplify right side
    763,672.50x = 2,573,242,681,689
  5. Step 5: Solve for x
    x = 2,573,242,681,689/763,672.50
  6. Step 6: Final answer
    x = 3,369,563.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.