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Finding the Third Proportional to 2,063,980.13 and 3,035,302.31

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Solution

The third proportional to 2,063,980.13 and 3,035,302.31 is: 4,463,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063,980.13 : 3,035,302.31 = 3,035,302.31 : x
  2. Step 2: Convert to fraction form
    2,063,980.13/3,035,302.31 = 3,035,302.31/x
  3. Step 3: Cross multiply
    2,063,980.13x = 3,035,302.31 × 3,035,302.31
  4. Step 4: Simplify right side
    2,063,980.13x = 9,213,060,128,267.85
  5. Step 5: Solve for x
    x = 9,213,060,128,267.85/2,063,980.13
  6. Step 6: Final answer
    x = 4,463,734.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.