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Finding the Third Proportional to 713,673 and 1,497,406

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Solution

The third proportional to 713,673 and 1,497,406 is: 3,141,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,673 : 1,497,406 = 1,497,406 : x
  2. Step 2: Convert to fraction form
    713,673/1,497,406 = 1,497,406/x
  3. Step 3: Cross multiply
    713,673x = 1,497,406 × 1,497,406
  4. Step 4: Simplify right side
    713,673x = 2,242,224,728,836
  5. Step 5: Solve for x
    x = 2,242,224,728,836/713,673
  6. Step 6: Final answer
    x = 3,141,809.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.