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Finding the Third Proportional to 1,427,915.25 and 2,973,926.81

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Solution

The third proportional to 1,427,915.25 and 2,973,926.81 is: 6,193,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,915.25 : 2,973,926.81 = 2,973,926.81 : x
  2. Step 2: Convert to fraction form
    1,427,915.25/2,973,926.81 = 2,973,926.81/x
  3. Step 3: Cross multiply
    1,427,915.25x = 2,973,926.81 × 2,973,926.81
  4. Step 4: Simplify right side
    1,427,915.25x = 8,844,240,686,106.41
  5. Step 5: Solve for x
    x = 8,844,240,686,106.41/1,427,915.25
  6. Step 6: Final answer
    x = 6,193,813.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.