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Finding the Third Proportional to 571,106 and 1,352,981

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Solution

The third proportional to 571,106 and 1,352,981 is: 3,205,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,106 : 1,352,981 = 1,352,981 : x
  2. Step 2: Convert to fraction form
    571,106/1,352,981 = 1,352,981/x
  3. Step 3: Cross multiply
    571,106x = 1,352,981 × 1,352,981
  4. Step 4: Simplify right side
    571,106x = 1,830,557,586,361
  5. Step 5: Solve for x
    x = 1,830,557,586,361/571,106
  6. Step 6: Final answer
    x = 3,205,285.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.