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Finding the Third Proportional to 719,588 and 1,549,923

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Solution

The third proportional to 719,588 and 1,549,923 is: 3,338,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,588 : 1,549,923 = 1,549,923 : x
  2. Step 2: Convert to fraction form
    719,588/1,549,923 = 1,549,923/x
  3. Step 3: Cross multiply
    719,588x = 1,549,923 × 1,549,923
  4. Step 4: Simplify right side
    719,588x = 2,402,261,305,929
  5. Step 5: Solve for x
    x = 2,402,261,305,929/719,588
  6. Step 6: Final answer
    x = 3,338,384.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.