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Finding the Third Proportional to 1,152,603 and 1,851,923.81

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Solution

The third proportional to 1,152,603 and 1,851,923.81 is: 2,975,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,603 : 1,851,923.81 = 1,851,923.81 : x
  2. Step 2: Convert to fraction form
    1,152,603/1,851,923.81 = 1,851,923.81/x
  3. Step 3: Cross multiply
    1,152,603x = 1,851,923.81 × 1,851,923.81
  4. Step 4: Simplify right side
    1,152,603x = 3,429,621,807,304.54
  5. Step 5: Solve for x
    x = 3,429,621,807,304.54/1,152,603
  6. Step 6: Final answer
    x = 2,975,544.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.