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Finding the Third Proportional to 602,782 and 826,536

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Solution

The third proportional to 602,782 and 826,536 is: 1,133,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,782 : 826,536 = 826,536 : x
  2. Step 2: Convert to fraction form
    602,782/826,536 = 826,536/x
  3. Step 3: Cross multiply
    602,782x = 826,536 × 826,536
  4. Step 4: Simplify right side
    602,782x = 683,161,759,296
  5. Step 5: Solve for x
    x = 683,161,759,296/602,782
  6. Step 6: Final answer
    x = 1,133,347.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.