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Finding the Third Proportional to 763,953.75 and 1,618,975.13

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Solution

The third proportional to 763,953.75 and 1,618,975.13 is: 3,430,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,953.75 : 1,618,975.13 = 1,618,975.13 : x
  2. Step 2: Convert to fraction form
    763,953.75/1,618,975.13 = 1,618,975.13/x
  3. Step 3: Cross multiply
    763,953.75x = 1,618,975.13 × 1,618,975.13
  4. Step 4: Simplify right side
    763,953.75x = 2,621,080,455,368.77
  5. Step 5: Solve for x
    x = 2,621,080,455,368.77/763,953.75
  6. Step 6: Final answer
    x = 3,430,941.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.