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Finding the Third Proportional to 575,146.83 and 1,209,769.80

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Solution

The third proportional to 575,146.83 and 1,209,769.80 is: 2,544,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,146.83 : 1,209,769.80 = 1,209,769.80 : x
  2. Step 2: Convert to fraction form
    575,146.83/1,209,769.80 = 1,209,769.80/x
  3. Step 3: Cross multiply
    575,146.83x = 1,209,769.80 × 1,209,769.80
  4. Step 4: Simplify right side
    575,146.83x = 1,463,542,980,333.63
  5. Step 5: Solve for x
    x = 1,463,542,980,333.63/575,146.83
  6. Step 6: Final answer
    x = 2,544,642.36

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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.