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Finding the Third Proportional to 840,820 and 1,208,742

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Solution

The third proportional to 840,820 and 1,208,742 is: 1,737,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,820 : 1,208,742 = 1,208,742 : x
  2. Step 2: Convert to fraction form
    840,820/1,208,742 = 1,208,742/x
  3. Step 3: Cross multiply
    840,820x = 1,208,742 × 1,208,742
  4. Step 4: Simplify right side
    840,820x = 1,461,057,222,564
  5. Step 5: Solve for x
    x = 1,461,057,222,564/840,820
  6. Step 6: Final answer
    x = 1,737,657.55

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.