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Finding the Third Proportional to 453,658 and 953,756

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Solution

The third proportional to 453,658 and 953,756 is: 2,005,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,658 : 953,756 = 953,756 : x
  2. Step 2: Convert to fraction form
    453,658/953,756 = 953,756/x
  3. Step 3: Cross multiply
    453,658x = 953,756 × 953,756
  4. Step 4: Simplify right side
    453,658x = 909,650,507,536
  5. Step 5: Solve for x
    x = 909,650,507,536/453,658
  6. Step 6: Final answer
    x = 2,005,145.96

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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.