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Finding the Third Proportional to 713,699 and 1,569,345

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Solution

The third proportional to 713,699 and 1,569,345 is: 3,450,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,699 : 1,569,345 = 1,569,345 : x
  2. Step 2: Convert to fraction form
    713,699/1,569,345 = 1,569,345/x
  3. Step 3: Cross multiply
    713,699x = 1,569,345 × 1,569,345
  4. Step 4: Simplify right side
    713,699x = 2,462,843,729,025
  5. Step 5: Solve for x
    x = 2,462,843,729,025/713,699
  6. Step 6: Final answer
    x = 3,450,815.72

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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.