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Finding the Third Proportional to 1,330,272.84 and 2,908,978.88

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Solution

The third proportional to 1,330,272.84 and 2,908,978.88 is: 6,361,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,272.84 : 2,908,978.88 = 2,908,978.88 : x
  2. Step 2: Convert to fraction form
    1,330,272.84/2,908,978.88 = 2,908,978.88/x
  3. Step 3: Cross multiply
    1,330,272.84x = 2,908,978.88 × 2,908,978.88
  4. Step 4: Simplify right side
    1,330,272.84x = 8,462,158,095,196.27
  5. Step 5: Solve for x
    x = 8,462,158,095,196.27/1,330,272.84
  6. Step 6: Final answer
    x = 6,361,219.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.