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Finding the Third Proportional to 713,163 and 1,566,285

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Solution

The third proportional to 713,163 and 1,566,285 is: 3,439,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,163 : 1,566,285 = 1,566,285 : x
  2. Step 2: Convert to fraction form
    713,163/1,566,285 = 1,566,285/x
  3. Step 3: Cross multiply
    713,163x = 1,566,285 × 1,566,285
  4. Step 4: Simplify right side
    713,163x = 2,453,248,701,225
  5. Step 5: Solve for x
    x = 2,453,248,701,225/713,163
  6. Step 6: Final answer
    x = 3,439,955.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.