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Finding the Third Proportional to 545,726 and 1,148,006

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Solution

The third proportional to 545,726 and 1,148,006 is: 2,414,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,726 : 1,148,006 = 1,148,006 : x
  2. Step 2: Convert to fraction form
    545,726/1,148,006 = 1,148,006/x
  3. Step 3: Cross multiply
    545,726x = 1,148,006 × 1,148,006
  4. Step 4: Simplify right side
    545,726x = 1,317,917,776,036
  5. Step 5: Solve for x
    x = 1,317,917,776,036/545,726
  6. Step 6: Final answer
    x = 2,414,980.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.