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Finding the Third Proportional to 1,036,533,704 and 1,589,444,904

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Solution

The third proportional to 1,036,533,704 and 1,589,444,904 is: 2,437,291,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,533,704 : 1,589,444,904 = 1,589,444,904 : x
  2. Step 2: Convert to fraction form
    1,036,533,704/1,589,444,904 = 1,589,444,904/x
  3. Step 3: Cross multiply
    1,036,533,704x = 1,589,444,904 × 1,589,444,904
  4. Step 4: Simplify right side
    1,036,533,704x = 2,526,335,102,851,569,152
  5. Step 5: Solve for x
    x = 2,526,335,102,851,569,152/1,036,533,704
  6. Step 6: Final answer
    x = 2,437,291,805.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.