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Finding the Third Proportional to 923,026 and 2,003,516

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Solution

The third proportional to 923,026 and 2,003,516 is: 4,348,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,026 : 2,003,516 = 2,003,516 : x
  2. Step 2: Convert to fraction form
    923,026/2,003,516 = 2,003,516/x
  3. Step 3: Cross multiply
    923,026x = 2,003,516 × 2,003,516
  4. Step 4: Simplify right side
    923,026x = 4,014,076,362,256
  5. Step 5: Solve for x
    x = 4,014,076,362,256/923,026
  6. Step 6: Final answer
    x = 4,348,822.64

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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.