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Finding the Third Proportional to 846,240 and 1,762,467

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Solution

The third proportional to 846,240 and 1,762,467 is: 3,670,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,240 : 1,762,467 = 1,762,467 : x
  2. Step 2: Convert to fraction form
    846,240/1,762,467 = 1,762,467/x
  3. Step 3: Cross multiply
    846,240x = 1,762,467 × 1,762,467
  4. Step 4: Simplify right side
    846,240x = 3,106,289,926,089
  5. Step 5: Solve for x
    x = 3,106,289,926,089/846,240
  6. Step 6: Final answer
    x = 3,670,696.17

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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.