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Finding the Third Proportional to 540,320 and 1,175,774

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Solution

The third proportional to 540,320 and 1,175,774 is: 2,558,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,320 : 1,175,774 = 1,175,774 : x
  2. Step 2: Convert to fraction form
    540,320/1,175,774 = 1,175,774/x
  3. Step 3: Cross multiply
    540,320x = 1,175,774 × 1,175,774
  4. Step 4: Simplify right side
    540,320x = 1,382,444,499,076
  5. Step 5: Solve for x
    x = 1,382,444,499,076/540,320
  6. Step 6: Final answer
    x = 2,558,566.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.