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Finding the Third Proportional to 907,272 and 1,953,216

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Solution

The third proportional to 907,272 and 1,953,216 is: 4,204,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,272 : 1,953,216 = 1,953,216 : x
  2. Step 2: Convert to fraction form
    907,272/1,953,216 = 1,953,216/x
  3. Step 3: Cross multiply
    907,272x = 1,953,216 × 1,953,216
  4. Step 4: Simplify right side
    907,272x = 3,815,052,742,656
  5. Step 5: Solve for x
    x = 3,815,052,742,656/907,272
  6. Step 6: Final answer
    x = 4,204,971.32

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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.