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Finding the Third Proportional to 1,167,054.75 and 1,774,567.13

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Solution

The third proportional to 1,167,054.75 and 1,774,567.13 is: 2,698,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,054.75 : 1,774,567.13 = 1,774,567.13 : x
  2. Step 2: Convert to fraction form
    1,167,054.75/1,774,567.13 = 1,774,567.13/x
  3. Step 3: Cross multiply
    1,167,054.75x = 1,774,567.13 × 1,774,567.13
  4. Step 4: Simplify right side
    1,167,054.75x = 3,149,088,481,130.77
  5. Step 5: Solve for x
    x = 3,149,088,481,130.77/1,167,054.75
  6. Step 6: Final answer
    x = 2,698,321.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.