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Finding the Third Proportional to 642,769 and 1,335,360

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Solution

The third proportional to 642,769 and 1,335,360 is: 2,774,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,769 : 1,335,360 = 1,335,360 : x
  2. Step 2: Convert to fraction form
    642,769/1,335,360 = 1,335,360/x
  3. Step 3: Cross multiply
    642,769x = 1,335,360 × 1,335,360
  4. Step 4: Simplify right side
    642,769x = 1,783,186,329,600
  5. Step 5: Solve for x
    x = 1,783,186,329,600/642,769
  6. Step 6: Final answer
    x = 2,774,225.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.