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Finding the Third Proportional to 933,466 and 1,441,653

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Solution

The third proportional to 933,466 and 1,441,653 is: 2,226,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,466 : 1,441,653 = 1,441,653 : x
  2. Step 2: Convert to fraction form
    933,466/1,441,653 = 1,441,653/x
  3. Step 3: Cross multiply
    933,466x = 1,441,653 × 1,441,653
  4. Step 4: Simplify right side
    933,466x = 2,078,363,372,409
  5. Step 5: Solve for x
    x = 2,078,363,372,409/933,466
  6. Step 6: Final answer
    x = 2,226,501.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.