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Finding the Third Proportional to 643,490 and 846,195

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Solution

The third proportional to 643,490 and 846,195 is: 1,112,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,490 : 846,195 = 846,195 : x
  2. Step 2: Convert to fraction form
    643,490/846,195 = 846,195/x
  3. Step 3: Cross multiply
    643,490x = 846,195 × 846,195
  4. Step 4: Simplify right side
    643,490x = 716,045,978,025
  5. Step 5: Solve for x
    x = 716,045,978,025/643,490
  6. Step 6: Final answer
    x = 1,112,753.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.