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Finding the Third Proportional to 1,166,654 and 1,569,189

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Solution

The third proportional to 1,166,654 and 1,569,189 is: 2,110,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,654 : 1,569,189 = 1,569,189 : x
  2. Step 2: Convert to fraction form
    1,166,654/1,569,189 = 1,569,189/x
  3. Step 3: Cross multiply
    1,166,654x = 1,569,189 × 1,569,189
  4. Step 4: Simplify right side
    1,166,654x = 2,462,354,117,721
  5. Step 5: Solve for x
    x = 2,462,354,117,721/1,166,654
  6. Step 6: Final answer
    x = 2,110,612.16

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.