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Finding the Third Proportional to 709,242 and 1,090,107

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Solution

The third proportional to 709,242 and 1,090,107 is: 1,675,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,242 : 1,090,107 = 1,090,107 : x
  2. Step 2: Convert to fraction form
    709,242/1,090,107 = 1,090,107/x
  3. Step 3: Cross multiply
    709,242x = 1,090,107 × 1,090,107
  4. Step 4: Simplify right side
    709,242x = 1,188,333,271,449
  5. Step 5: Solve for x
    x = 1,188,333,271,449/709,242
  6. Step 6: Final answer
    x = 1,675,497.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.