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Finding the Third Proportional to 1,010,135.81 and 2,180,509.88

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Solution

The third proportional to 1,010,135.81 and 2,180,509.88 is: 4,706,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,135.81 : 2,180,509.88 = 2,180,509.88 : x
  2. Step 2: Convert to fraction form
    1,010,135.81/2,180,509.88 = 2,180,509.88/x
  3. Step 3: Cross multiply
    1,010,135.81x = 2,180,509.88 × 2,180,509.88
  4. Step 4: Simplify right side
    1,010,135.81x = 4,754,623,314,972.52
  5. Step 5: Solve for x
    x = 4,754,623,314,972.52/1,010,135.81
  6. Step 6: Final answer
    x = 4,706,914.91

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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.