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Finding the Third Proportional to 713,289 and 1,486,356

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Solution

The third proportional to 713,289 and 1,486,356 is: 3,097,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,289 : 1,486,356 = 1,486,356 : x
  2. Step 2: Convert to fraction form
    713,289/1,486,356 = 1,486,356/x
  3. Step 3: Cross multiply
    713,289x = 1,486,356 × 1,486,356
  4. Step 4: Simplify right side
    713,289x = 2,209,254,158,736
  5. Step 5: Solve for x
    x = 2,209,254,158,736/713,289
  6. Step 6: Final answer
    x = 3,097,277.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.