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Finding the Third Proportional to 395,316 and 846,396

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Solution

The third proportional to 395,316 and 846,396 is: 1,812,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,316 : 846,396 = 846,396 : x
  2. Step 2: Convert to fraction form
    395,316/846,396 = 846,396/x
  3. Step 3: Cross multiply
    395,316x = 846,396 × 846,396
  4. Step 4: Simplify right side
    395,316x = 716,386,188,816
  5. Step 5: Solve for x
    x = 716,386,188,816/395,316
  6. Step 6: Final answer
    x = 1,812,186.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.