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Finding the Third Proportional to 1,020,634 and 2,197,269

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Solution

The third proportional to 1,020,634 and 2,197,269 is: 4,730,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,634 : 2,197,269 = 2,197,269 : x
  2. Step 2: Convert to fraction form
    1,020,634/2,197,269 = 2,197,269/x
  3. Step 3: Cross multiply
    1,020,634x = 2,197,269 × 2,197,269
  4. Step 4: Simplify right side
    1,020,634x = 4,827,991,058,361
  5. Step 5: Solve for x
    x = 4,827,991,058,361/1,020,634
  6. Step 6: Final answer
    x = 4,730,384.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.