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Finding the Third Proportional to 779,812 and 1,675,664

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Solution

The third proportional to 779,812 and 1,675,664 is: 3,600,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,812 : 1,675,664 = 1,675,664 : x
  2. Step 2: Convert to fraction form
    779,812/1,675,664 = 1,675,664/x
  3. Step 3: Cross multiply
    779,812x = 1,675,664 × 1,675,664
  4. Step 4: Simplify right side
    779,812x = 2,807,849,840,896
  5. Step 5: Solve for x
    x = 2,807,849,840,896/779,812
  6. Step 6: Final answer
    x = 3,600,675.34

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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.