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Finding the Third Proportional to 423,495 and 881,982

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Solution

The third proportional to 423,495 and 881,982 is: 1,836,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,495 : 881,982 = 881,982 : x
  2. Step 2: Convert to fraction form
    423,495/881,982 = 881,982/x
  3. Step 3: Cross multiply
    423,495x = 881,982 × 881,982
  4. Step 4: Simplify right side
    423,495x = 777,892,248,324
  5. Step 5: Solve for x
    x = 777,892,248,324/423,495
  6. Step 6: Final answer
    x = 1,836,839.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.