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Finding the Third Proportional to 611,484 and 926,460

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Solution

The third proportional to 611,484 and 926,460 is: 1,403,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,484 : 926,460 = 926,460 : x
  2. Step 2: Convert to fraction form
    611,484/926,460 = 926,460/x
  3. Step 3: Cross multiply
    611,484x = 926,460 × 926,460
  4. Step 4: Simplify right side
    611,484x = 858,328,131,600
  5. Step 5: Solve for x
    x = 858,328,131,600/611,484
  6. Step 6: Final answer
    x = 1,403,680.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.