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Finding the Third Proportional to 590,444 and 1,294,370

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Solution

The third proportional to 590,444 and 1,294,370 is: 2,837,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,444 : 1,294,370 = 1,294,370 : x
  2. Step 2: Convert to fraction form
    590,444/1,294,370 = 1,294,370/x
  3. Step 3: Cross multiply
    590,444x = 1,294,370 × 1,294,370
  4. Step 4: Simplify right side
    590,444x = 1,675,393,696,900
  5. Step 5: Solve for x
    x = 1,675,393,696,900/590,444
  6. Step 6: Final answer
    x = 2,837,514.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.