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Finding the Third Proportional to 723,830 and 1,429,494

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Solution

The third proportional to 723,830 and 1,429,494 is: 2,823,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,830 : 1,429,494 = 1,429,494 : x
  2. Step 2: Convert to fraction form
    723,830/1,429,494 = 1,429,494/x
  3. Step 3: Cross multiply
    723,830x = 1,429,494 × 1,429,494
  4. Step 4: Simplify right side
    723,830x = 2,043,453,096,036
  5. Step 5: Solve for x
    x = 2,043,453,096,036/723,830
  6. Step 6: Final answer
    x = 2,823,111.91

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.