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Finding the Third Proportional to 738,738 and 1,590,470

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Solution

The third proportional to 738,738 and 1,590,470 is: 3,424,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,738 : 1,590,470 = 1,590,470 : x
  2. Step 2: Convert to fraction form
    738,738/1,590,470 = 1,590,470/x
  3. Step 3: Cross multiply
    738,738x = 1,590,470 × 1,590,470
  4. Step 4: Simplify right side
    738,738x = 2,529,594,820,900
  5. Step 5: Solve for x
    x = 2,529,594,820,900/738,738
  6. Step 6: Final answer
    x = 3,424,211.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.