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Finding the Third Proportional to 611,488 and 926,480

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Solution

The third proportional to 611,488 and 926,480 is: 1,403,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,488 : 926,480 = 926,480 : x
  2. Step 2: Convert to fraction form
    611,488/926,480 = 926,480/x
  3. Step 3: Cross multiply
    611,488x = 926,480 × 926,480
  4. Step 4: Simplify right side
    611,488x = 858,365,190,400
  5. Step 5: Solve for x
    x = 858,365,190,400/611,488
  6. Step 6: Final answer
    x = 1,403,731.86

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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.