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Finding the Third Proportional to 453,359 and 953,442

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Solution

The third proportional to 453,359 and 953,442 is: 2,005,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,359 : 953,442 = 953,442 : x
  2. Step 2: Convert to fraction form
    453,359/953,442 = 953,442/x
  3. Step 3: Cross multiply
    453,359x = 953,442 × 953,442
  4. Step 4: Simplify right side
    453,359x = 909,051,647,364
  5. Step 5: Solve for x
    x = 909,051,647,364/453,359
  6. Step 6: Final answer
    x = 2,005,147.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.