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Finding the Third Proportional to 1,054,804,706 and 1,551,723,195

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Solution

The third proportional to 1,054,804,706 and 1,551,723,195 is: 2,282,739,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,804,706 : 1,551,723,195 = 1,551,723,195 : x
  2. Step 2: Convert to fraction form
    1,054,804,706/1,551,723,195 = 1,551,723,195/x
  3. Step 3: Cross multiply
    1,054,804,706x = 1,551,723,195 × 1,551,723,195
  4. Step 4: Simplify right side
    1,054,804,706x = 2,407,844,873,901,007,872
  5. Step 5: Solve for x
    x = 2,407,844,873,901,007,872/1,054,804,706
  6. Step 6: Final answer
    x = 2,282,739,980.40

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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.