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Finding the Third Proportional to 720,077 and 1,575,770

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Solution

The third proportional to 720,077 and 1,575,770 is: 3,448,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,077 : 1,575,770 = 1,575,770 : x
  2. Step 2: Convert to fraction form
    720,077/1,575,770 = 1,575,770/x
  3. Step 3: Cross multiply
    720,077x = 1,575,770 × 1,575,770
  4. Step 4: Simplify right side
    720,077x = 2,483,051,092,900
  5. Step 5: Solve for x
    x = 2,483,051,092,900/720,077
  6. Step 6: Final answer
    x = 3,448,313.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.