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Finding the Third Proportional to 822,184,239 and 1,210,566,550.50

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Solution

The third proportional to 822,184,239 and 1,210,566,550.50 is: 1,782,412,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,184,239 : 1,210,566,550.50 = 1,210,566,550.50 : x
  2. Step 2: Convert to fraction form
    822,184,239/1,210,566,550.50 = 1,210,566,550.50/x
  3. Step 3: Cross multiply
    822,184,239x = 1,210,566,550.50 × 1,210,566,550.50
  4. Step 4: Simplify right side
    822,184,239x = 1,465,471,373,189,468,928
  5. Step 5: Solve for x
    x = 1,465,471,373,189,468,928/822,184,239
  6. Step 6: Final answer
    x = 1,782,412,388.46

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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.