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Finding the Third Proportional to 1,971,193.61 and 2,881,953.98

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Solution

The third proportional to 1,971,193.61 and 2,881,953.98 is: 4,213,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,193.61 : 2,881,953.98 = 2,881,953.98 : x
  2. Step 2: Convert to fraction form
    1,971,193.61/2,881,953.98 = 2,881,953.98/x
  3. Step 3: Cross multiply
    1,971,193.61x = 2,881,953.98 × 2,881,953.98
  4. Step 4: Simplify right side
    1,971,193.61x = 8,305,658,717,395.95
  5. Step 5: Solve for x
    x = 8,305,658,717,395.95/1,971,193.61
  6. Step 6: Final answer
    x = 4,213,517.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.