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Finding the Third Proportional to 1,010,090.88 and 2,180,412.88

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Solution

The third proportional to 1,010,090.88 and 2,180,412.88 is: 4,706,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,090.88 : 2,180,412.88 = 2,180,412.88 : x
  2. Step 2: Convert to fraction form
    1,010,090.88/2,180,412.88 = 2,180,412.88/x
  3. Step 3: Cross multiply
    1,010,090.88x = 2,180,412.88 × 2,180,412.88
  4. Step 4: Simplify right side
    1,010,090.88x = 4,754,200,305,465.77
  5. Step 5: Solve for x
    x = 4,754,200,305,465.77/1,010,090.88
  6. Step 6: Final answer
    x = 4,706,705.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.