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Finding the Third Proportional to 651,370 and 1,414,148

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Solution

The third proportional to 651,370 and 1,414,148 is: 3,070,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,370 : 1,414,148 = 1,414,148 : x
  2. Step 2: Convert to fraction form
    651,370/1,414,148 = 1,414,148/x
  3. Step 3: Cross multiply
    651,370x = 1,414,148 × 1,414,148
  4. Step 4: Simplify right side
    651,370x = 1,999,814,565,904
  5. Step 5: Solve for x
    x = 1,999,814,565,904/651,370
  6. Step 6: Final answer
    x = 3,070,166.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.