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Finding the Third Proportional to 763,574.75 and 1,645,166.50

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Solution

The third proportional to 763,574.75 and 1,645,166.50 is: 3,544,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,574.75 : 1,645,166.50 = 1,645,166.50 : x
  2. Step 2: Convert to fraction form
    763,574.75/1,645,166.50 = 1,645,166.50/x
  3. Step 3: Cross multiply
    763,574.75x = 1,645,166.50 × 1,645,166.50
  4. Step 4: Simplify right side
    763,574.75x = 2,706,572,812,722.25
  5. Step 5: Solve for x
    x = 2,706,572,812,722.25/763,574.75
  6. Step 6: Final answer
    x = 3,544,607.54

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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.