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Finding the Third Proportional to 438,316 and 943,216

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Solution

The third proportional to 438,316 and 943,216 is: 2,029,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,316 : 943,216 = 943,216 : x
  2. Step 2: Convert to fraction form
    438,316/943,216 = 943,216/x
  3. Step 3: Cross multiply
    438,316x = 943,216 × 943,216
  4. Step 4: Simplify right side
    438,316x = 889,656,422,656
  5. Step 5: Solve for x
    x = 889,656,422,656/438,316
  6. Step 6: Final answer
    x = 2,029,714.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.