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Finding the Third Proportional to 680,410 and 1,464,823

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Solution

The third proportional to 680,410 and 1,464,823 is: 3,153,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,410 : 1,464,823 = 1,464,823 : x
  2. Step 2: Convert to fraction form
    680,410/1,464,823 = 1,464,823/x
  3. Step 3: Cross multiply
    680,410x = 1,464,823 × 1,464,823
  4. Step 4: Simplify right side
    680,410x = 2,145,706,421,329
  5. Step 5: Solve for x
    x = 2,145,706,421,329/680,410
  6. Step 6: Final answer
    x = 3,153,549.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.