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Finding the Third Proportional to 784,756 and 1,243,470

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Solution

The third proportional to 784,756 and 1,243,470 is: 1,970,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,756 : 1,243,470 = 1,243,470 : x
  2. Step 2: Convert to fraction form
    784,756/1,243,470 = 1,243,470/x
  3. Step 3: Cross multiply
    784,756x = 1,243,470 × 1,243,470
  4. Step 4: Simplify right side
    784,756x = 1,546,217,640,900
  5. Step 5: Solve for x
    x = 1,546,217,640,900/784,756
  6. Step 6: Final answer
    x = 1,970,316.43

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.