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Finding the Third Proportional to 771,673.92 and 1,146,318.75

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Solution

The third proportional to 771,673.92 and 1,146,318.75 is: 1,702,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,673.92 : 1,146,318.75 = 1,146,318.75 : x
  2. Step 2: Convert to fraction form
    771,673.92/1,146,318.75 = 1,146,318.75/x
  3. Step 3: Cross multiply
    771,673.92x = 1,146,318.75 × 1,146,318.75
  4. Step 4: Simplify right side
    771,673.92x = 1,314,046,676,601.56
  5. Step 5: Solve for x
    x = 1,314,046,676,601.56/771,673.92
  6. Step 6: Final answer
    x = 1,702,852.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.