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Finding the Third Proportional to 1,586,438 and 2,383,173

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Solution

The third proportional to 1,586,438 and 2,383,173 is: 3,580,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,438 : 2,383,173 = 2,383,173 : x
  2. Step 2: Convert to fraction form
    1,586,438/2,383,173 = 2,383,173/x
  3. Step 3: Cross multiply
    1,586,438x = 2,383,173 × 2,383,173
  4. Step 4: Simplify right side
    1,586,438x = 5,679,513,547,929
  5. Step 5: Solve for x
    x = 5,679,513,547,929/1,586,438
  6. Step 6: Final answer
    x = 3,580,041.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.