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Finding the Third Proportional to 465,460 and 1,013,863

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Solution

The third proportional to 465,460 and 1,013,863 is: 2,208,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,460 : 1,013,863 = 1,013,863 : x
  2. Step 2: Convert to fraction form
    465,460/1,013,863 = 1,013,863/x
  3. Step 3: Cross multiply
    465,460x = 1,013,863 × 1,013,863
  4. Step 4: Simplify right side
    465,460x = 1,027,918,182,769
  5. Step 5: Solve for x
    x = 1,027,918,182,769/465,460
  6. Step 6: Final answer
    x = 2,208,392.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.