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Finding the Third Proportional to 611,514 and 899,280

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Solution

The third proportional to 611,514 and 899,280 is: 1,322,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,514 : 899,280 = 899,280 : x
  2. Step 2: Convert to fraction form
    611,514/899,280 = 899,280/x
  3. Step 3: Cross multiply
    611,514x = 899,280 × 899,280
  4. Step 4: Simplify right side
    611,514x = 808,704,518,400
  5. Step 5: Solve for x
    x = 808,704,518,400/611,514
  6. Step 6: Final answer
    x = 1,322,462.80

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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.