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Finding the Third Proportional to 676,724 and 1,470,040

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Solution

The third proportional to 676,724 and 1,470,040 is: 3,193,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,724 : 1,470,040 = 1,470,040 : x
  2. Step 2: Convert to fraction form
    676,724/1,470,040 = 1,470,040/x
  3. Step 3: Cross multiply
    676,724x = 1,470,040 × 1,470,040
  4. Step 4: Simplify right side
    676,724x = 2,161,017,601,600
  5. Step 5: Solve for x
    x = 2,161,017,601,600/676,724
  6. Step 6: Final answer
    x = 3,193,351.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.