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Finding the Third Proportional to 592,740 and 1,294,344

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Solution

The third proportional to 592,740 and 1,294,344 is: 2,826,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,740 : 1,294,344 = 1,294,344 : x
  2. Step 2: Convert to fraction form
    592,740/1,294,344 = 1,294,344/x
  3. Step 3: Cross multiply
    592,740x = 1,294,344 × 1,294,344
  4. Step 4: Simplify right side
    592,740x = 1,675,326,390,336
  5. Step 5: Solve for x
    x = 1,675,326,390,336/592,740
  6. Step 6: Final answer
    x = 2,826,410.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.