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Finding the Third Proportional to 900,591 and 1,369,464

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Solution

The third proportional to 900,591 and 1,369,464 is: 2,082,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,591 : 1,369,464 = 1,369,464 : x
  2. Step 2: Convert to fraction form
    900,591/1,369,464 = 1,369,464/x
  3. Step 3: Cross multiply
    900,591x = 1,369,464 × 1,369,464
  4. Step 4: Simplify right side
    900,591x = 1,875,431,647,296
  5. Step 5: Solve for x
    x = 1,875,431,647,296/900,591
  6. Step 6: Final answer
    x = 2,082,445.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.