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Finding the Third Proportional to 1,010,223.14 and 2,169,914.06

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Solution

The third proportional to 1,010,223.14 and 2,169,914.06 is: 4,660,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,223.14 : 2,169,914.06 = 2,169,914.06 : x
  2. Step 2: Convert to fraction form
    1,010,223.14/2,169,914.06 = 2,169,914.06/x
  3. Step 3: Cross multiply
    1,010,223.14x = 2,169,914.06 × 2,169,914.06
  4. Step 4: Simplify right side
    1,010,223.14x = 4,708,527,038,635.25
  5. Step 5: Solve for x
    x = 4,708,527,038,635.25/1,010,223.14
  6. Step 6: Final answer
    x = 4,660,878.23

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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.