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Finding the Third Proportional to 556,020.75 and 1,214,010

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Solution

The third proportional to 556,020.75 and 1,214,010 is: 2,650,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,020.75 : 1,214,010 = 1,214,010 : x
  2. Step 2: Convert to fraction form
    556,020.75/1,214,010 = 1,214,010/x
  3. Step 3: Cross multiply
    556,020.75x = 1,214,010 × 1,214,010
  4. Step 4: Simplify right side
    556,020.75x = 1,473,820,280,100
  5. Step 5: Solve for x
    x = 1,473,820,280,100/556,020.75
  6. Step 6: Final answer
    x = 2,650,656.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.