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Finding the Third Proportional to 1,255,873.50 and 2,645,154

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Solution

The third proportional to 1,255,873.50 and 2,645,154 is: 5,571,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,873.50 : 2,645,154 = 2,645,154 : x
  2. Step 2: Convert to fraction form
    1,255,873.50/2,645,154 = 2,645,154/x
  3. Step 3: Cross multiply
    1,255,873.50x = 2,645,154 × 2,645,154
  4. Step 4: Simplify right side
    1,255,873.50x = 6,996,839,683,716
  5. Step 5: Solve for x
    x = 6,996,839,683,716/1,255,873.50
  6. Step 6: Final answer
    x = 5,571,293.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.