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Finding the Third Proportional to 576,547.88 and 1,241,669.25

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Solution

The third proportional to 576,547.88 and 1,241,669.25 is: 2,674,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,547.88 : 1,241,669.25 = 1,241,669.25 : x
  2. Step 2: Convert to fraction form
    576,547.88/1,241,669.25 = 1,241,669.25/x
  3. Step 3: Cross multiply
    576,547.88x = 1,241,669.25 × 1,241,669.25
  4. Step 4: Simplify right side
    576,547.88x = 1,541,742,526,395.56
  5. Step 5: Solve for x
    x = 1,541,742,526,395.56/576,547.88
  6. Step 6: Final answer
    x = 2,674,092.81

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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.