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Finding the Third Proportional to 462,996 and 938,862

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Solution

The third proportional to 462,996 and 938,862 is: 1,903,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,996 : 938,862 = 938,862 : x
  2. Step 2: Convert to fraction form
    462,996/938,862 = 938,862/x
  3. Step 3: Cross multiply
    462,996x = 938,862 × 938,862
  4. Step 4: Simplify right side
    462,996x = 881,461,855,044
  5. Step 5: Solve for x
    x = 881,461,855,044/462,996
  6. Step 6: Final answer
    x = 1,903,821.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.