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Finding the Third Proportional to 857,349 and 1,262,337.75

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Solution

The third proportional to 857,349 and 1,262,337.75 is: 1,858,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,349 : 1,262,337.75 = 1,262,337.75 : x
  2. Step 2: Convert to fraction form
    857,349/1,262,337.75 = 1,262,337.75/x
  3. Step 3: Cross multiply
    857,349x = 1,262,337.75 × 1,262,337.75
  4. Step 4: Simplify right side
    857,349x = 1,593,496,595,075.06
  5. Step 5: Solve for x
    x = 1,593,496,595,075.06/857,349
  6. Step 6: Final answer
    x = 1,858,632.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.