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Finding the Third Proportional to 420,294 and 933,900

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Solution

The third proportional to 420,294 and 933,900 is: 2,075,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,294 : 933,900 = 933,900 : x
  2. Step 2: Convert to fraction form
    420,294/933,900 = 933,900/x
  3. Step 3: Cross multiply
    420,294x = 933,900 × 933,900
  4. Step 4: Simplify right side
    420,294x = 872,169,210,000
  5. Step 5: Solve for x
    x = 872,169,210,000/420,294
  6. Step 6: Final answer
    x = 2,075,140.76

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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.