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Finding the Third Proportional to 1,036,317.09 and 2,230,098.19

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Solution

The third proportional to 1,036,317.09 and 2,230,098.19 is: 4,799,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,317.09 : 2,230,098.19 = 2,230,098.19 : x
  2. Step 2: Convert to fraction form
    1,036,317.09/2,230,098.19 = 2,230,098.19/x
  3. Step 3: Cross multiply
    1,036,317.09x = 2,230,098.19 × 2,230,098.19
  4. Step 4: Simplify right side
    1,036,317.09x = 4,973,337,925,890.79
  5. Step 5: Solve for x
    x = 4,973,337,925,890.79/1,036,317.09
  6. Step 6: Final answer
    x = 4,799,050.36

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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.