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Finding the Third Proportional to 713,701 and 1,569,349

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Solution

The third proportional to 713,701 and 1,569,349 is: 3,450,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,701 : 1,569,349 = 1,569,349 : x
  2. Step 2: Convert to fraction form
    713,701/1,569,349 = 1,569,349/x
  3. Step 3: Cross multiply
    713,701x = 1,569,349 × 1,569,349
  4. Step 4: Simplify right side
    713,701x = 2,462,856,283,801
  5. Step 5: Solve for x
    x = 2,462,856,283,801/713,701
  6. Step 6: Final answer
    x = 3,450,823.64

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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.