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Finding the Third Proportional to 680,412 and 1,464,828

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Solution

The third proportional to 680,412 and 1,464,828 is: 3,153,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,412 : 1,464,828 = 1,464,828 : x
  2. Step 2: Convert to fraction form
    680,412/1,464,828 = 1,464,828/x
  3. Step 3: Cross multiply
    680,412x = 1,464,828 × 1,464,828
  4. Step 4: Simplify right side
    680,412x = 2,145,721,069,584
  5. Step 5: Solve for x
    x = 2,145,721,069,584/680,412
  6. Step 6: Final answer
    x = 3,153,561.47

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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.