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Finding the Third Proportional to 420,308 and 933,928

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Solution

The third proportional to 420,308 and 933,928 is: 2,075,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,308 : 933,928 = 933,928 : x
  2. Step 2: Convert to fraction form
    420,308/933,928 = 933,928/x
  3. Step 3: Cross multiply
    420,308x = 933,928 × 933,928
  4. Step 4: Simplify right side
    420,308x = 872,221,509,184
  5. Step 5: Solve for x
    x = 872,221,509,184/420,308
  6. Step 6: Final answer
    x = 2,075,196.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.