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Finding the Third Proportional to 423,098 and 881,190

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Solution

The third proportional to 423,098 and 881,190 is: 1,835,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,098 : 881,190 = 881,190 : x
  2. Step 2: Convert to fraction form
    423,098/881,190 = 881,190/x
  3. Step 3: Cross multiply
    423,098x = 881,190 × 881,190
  4. Step 4: Simplify right side
    423,098x = 776,495,816,100
  5. Step 5: Solve for x
    x = 776,495,816,100/423,098
  6. Step 6: Final answer
    x = 1,835,262.32

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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.