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Finding the Third Proportional to 385,982 and 846,733

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Solution

The third proportional to 385,982 and 846,733 is: 1,857,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,982 : 846,733 = 846,733 : x
  2. Step 2: Convert to fraction form
    385,982/846,733 = 846,733/x
  3. Step 3: Cross multiply
    385,982x = 846,733 × 846,733
  4. Step 4: Simplify right side
    385,982x = 716,956,773,289
  5. Step 5: Solve for x
    x = 716,956,773,289/385,982
  6. Step 6: Final answer
    x = 1,857,487.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.