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Finding the Third Proportional to 612,592 and 1,297,920

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Solution

The third proportional to 612,592 and 1,297,920 is: 2,749,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,592 : 1,297,920 = 1,297,920 : x
  2. Step 2: Convert to fraction form
    612,592/1,297,920 = 1,297,920/x
  3. Step 3: Cross multiply
    612,592x = 1,297,920 × 1,297,920
  4. Step 4: Simplify right side
    612,592x = 1,684,596,326,400
  5. Step 5: Solve for x
    x = 1,684,596,326,400/612,592
  6. Step 6: Final answer
    x = 2,749,948.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.