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Finding the Third Proportional to 385,743 and 846,210

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Solution

The third proportional to 385,743 and 846,210 is: 1,856,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,743 : 846,210 = 846,210 : x
  2. Step 2: Convert to fraction form
    385,743/846,210 = 846,210/x
  3. Step 3: Cross multiply
    385,743x = 846,210 × 846,210
  4. Step 4: Simplify right side
    385,743x = 716,071,364,100
  5. Step 5: Solve for x
    x = 716,071,364,100/385,743
  6. Step 6: Final answer
    x = 1,856,343.12

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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.