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Finding the Third Proportional to 931,410 and 1,458,009

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Solution

The third proportional to 931,410 and 1,458,009 is: 2,282,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,410 : 1,458,009 = 1,458,009 : x
  2. Step 2: Convert to fraction form
    931,410/1,458,009 = 1,458,009/x
  3. Step 3: Cross multiply
    931,410x = 1,458,009 × 1,458,009
  4. Step 4: Simplify right side
    931,410x = 2,125,790,244,081
  5. Step 5: Solve for x
    x = 2,125,790,244,081/931,410
  6. Step 6: Final answer
    x = 2,282,335.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.