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Finding the Third Proportional to 592,746 and 1,297,920

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Solution

The third proportional to 592,746 and 1,297,920 is: 2,842,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,746 : 1,297,920 = 1,297,920 : x
  2. Step 2: Convert to fraction form
    592,746/1,297,920 = 1,297,920/x
  3. Step 3: Cross multiply
    592,746x = 1,297,920 × 1,297,920
  4. Step 4: Simplify right side
    592,746x = 1,684,596,326,400
  5. Step 5: Solve for x
    x = 1,684,596,326,400/592,746
  6. Step 6: Final answer
    x = 2,842,020.57

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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.