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Finding the Third Proportional to 1,283,698.13 and 1,999,156.57

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Solution

The third proportional to 1,283,698.13 and 1,999,156.57 is: 3,113,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,698.13 : 1,999,156.57 = 1,999,156.57 : x
  2. Step 2: Convert to fraction form
    1,283,698.13/1,999,156.57 = 1,999,156.57/x
  3. Step 3: Cross multiply
    1,283,698.13x = 1,999,156.57 × 1,999,156.57
  4. Step 4: Simplify right side
    1,283,698.13x = 3,996,626,992,623.64
  5. Step 5: Solve for x
    x = 3,996,626,992,623.64/1,283,698.13
  6. Step 6: Final answer
    x = 3,113,369.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.