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Finding the Third Proportional to 966,613.50 and 1,420,323

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Solution

The third proportional to 966,613.50 and 1,420,323 is: 2,086,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,613.50 : 1,420,323 = 1,420,323 : x
  2. Step 2: Convert to fraction form
    966,613.50/1,420,323 = 1,420,323/x
  3. Step 3: Cross multiply
    966,613.50x = 1,420,323 × 1,420,323
  4. Step 4: Simplify right side
    966,613.50x = 2,017,317,424,329
  5. Step 5: Solve for x
    x = 2,017,317,424,329/966,613.50
  6. Step 6: Final answer
    x = 2,086,994.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.