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Finding the Third Proportional to 423,324 and 881,154

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Solution

The third proportional to 423,324 and 881,154 is: 1,834,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,324 : 881,154 = 881,154 : x
  2. Step 2: Convert to fraction form
    423,324/881,154 = 881,154/x
  3. Step 3: Cross multiply
    423,324x = 881,154 × 881,154
  4. Step 4: Simplify right side
    423,324x = 776,432,371,716
  5. Step 5: Solve for x
    x = 776,432,371,716/423,324
  6. Step 6: Final answer
    x = 1,834,132.65

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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.