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Finding the Third Proportional to 389,076 and 846,324

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Solution

The third proportional to 389,076 and 846,324 is: 1,840,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,076 : 846,324 = 846,324 : x
  2. Step 2: Convert to fraction form
    389,076/846,324 = 846,324/x
  3. Step 3: Cross multiply
    389,076x = 846,324 × 846,324
  4. Step 4: Simplify right side
    389,076x = 716,264,312,976
  5. Step 5: Solve for x
    x = 716,264,312,976/389,076
  6. Step 6: Final answer
    x = 1,840,936.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.