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Finding the Third Proportional to 658,040 and 1,367,752

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Solution

The third proportional to 658,040 and 1,367,752 is: 2,842,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,040 : 1,367,752 = 1,367,752 : x
  2. Step 2: Convert to fraction form
    658,040/1,367,752 = 1,367,752/x
  3. Step 3: Cross multiply
    658,040x = 1,367,752 × 1,367,752
  4. Step 4: Simplify right side
    658,040x = 1,870,745,533,504
  5. Step 5: Solve for x
    x = 1,870,745,533,504/658,040
  6. Step 6: Final answer
    x = 2,842,905.50

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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.