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Finding the Third Proportional to 590,897 and 1,255,666

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Solution

The third proportional to 590,897 and 1,255,666 is: 2,668,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,897 : 1,255,666 = 1,255,666 : x
  2. Step 2: Convert to fraction form
    590,897/1,255,666 = 1,255,666/x
  3. Step 3: Cross multiply
    590,897x = 1,255,666 × 1,255,666
  4. Step 4: Simplify right side
    590,897x = 1,576,697,103,556
  5. Step 5: Solve for x
    x = 1,576,697,103,556/590,897
  6. Step 6: Final answer
    x = 2,668,311.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.