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Finding the Third Proportional to 672,443,215 and 1,054,769,405

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Solution

The third proportional to 672,443,215 and 1,054,769,405 is: 1,654,472,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,443,215 : 1,054,769,405 = 1,054,769,405 : x
  2. Step 2: Convert to fraction form
    672,443,215/1,054,769,405 = 1,054,769,405/x
  3. Step 3: Cross multiply
    672,443,215x = 1,054,769,405 × 1,054,769,405
  4. Step 4: Simplify right side
    672,443,215x = 1,112,538,497,724,054,016
  5. Step 5: Solve for x
    x = 1,112,538,497,724,054,016/672,443,215
  6. Step 6: Final answer
    x = 1,654,472,040.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.