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Finding the Third Proportional to 785,348 and 1,709,740

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Solution

The third proportional to 785,348 and 1,709,740 is: 3,722,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,348 : 1,709,740 = 1,709,740 : x
  2. Step 2: Convert to fraction form
    785,348/1,709,740 = 1,709,740/x
  3. Step 3: Cross multiply
    785,348x = 1,709,740 × 1,709,740
  4. Step 4: Simplify right side
    785,348x = 2,923,210,867,600
  5. Step 5: Solve for x
    x = 2,923,210,867,600/785,348
  6. Step 6: Final answer
    x = 3,722,185.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.