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Finding the Third Proportional to 1,054,804,704 and 1,551,723,192

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Solution

The third proportional to 1,054,804,704 and 1,551,723,192 is: 2,282,739,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,804,704 : 1,551,723,192 = 1,551,723,192 : x
  2. Step 2: Convert to fraction form
    1,054,804,704/1,551,723,192 = 1,551,723,192/x
  3. Step 3: Cross multiply
    1,054,804,704x = 1,551,723,192 × 1,551,723,192
  4. Step 4: Simplify right side
    1,054,804,704x = 2,407,844,864,590,668,800
  5. Step 5: Solve for x
    x = 2,407,844,864,590,668,800/1,054,804,704
  6. Step 6: Final answer
    x = 2,282,739,975.90

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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.