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Finding the Third Proportional to 462,640 and 1,070,933

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Solution

The third proportional to 462,640 and 1,070,933 is: 2,479,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,640 : 1,070,933 = 1,070,933 : x
  2. Step 2: Convert to fraction form
    462,640/1,070,933 = 1,070,933/x
  3. Step 3: Cross multiply
    462,640x = 1,070,933 × 1,070,933
  4. Step 4: Simplify right side
    462,640x = 1,146,897,490,489
  5. Step 5: Solve for x
    x = 1,146,897,490,489/462,640
  6. Step 6: Final answer
    x = 2,479,027.95

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.