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Finding the Third Proportional to 575,159 and 1,209,796

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Solution

The third proportional to 575,159 and 1,209,796 is: 2,544,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,159 : 1,209,796 = 1,209,796 : x
  2. Step 2: Convert to fraction form
    575,159/1,209,796 = 1,209,796/x
  3. Step 3: Cross multiply
    575,159x = 1,209,796 × 1,209,796
  4. Step 4: Simplify right side
    575,159x = 1,463,606,361,616
  5. Step 5: Solve for x
    x = 1,463,606,361,616/575,159
  6. Step 6: Final answer
    x = 2,544,698.70

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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.