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Finding the Third Proportional to 651,052 and 1,426,232

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Solution

The third proportional to 651,052 and 1,426,232 is: 3,124,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,052 : 1,426,232 = 1,426,232 : x
  2. Step 2: Convert to fraction form
    651,052/1,426,232 = 1,426,232/x
  3. Step 3: Cross multiply
    651,052x = 1,426,232 × 1,426,232
  4. Step 4: Simplify right side
    651,052x = 2,034,137,717,824
  5. Step 5: Solve for x
    x = 2,034,137,717,824/651,052
  6. Step 6: Final answer
    x = 3,124,385.94

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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.