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Finding the Third Proportional to 603,654 and 846,009.75

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Solution

The third proportional to 603,654 and 846,009.75 is: 1,185,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,654 : 846,009.75 = 846,009.75 : x
  2. Step 2: Convert to fraction form
    603,654/846,009.75 = 846,009.75/x
  3. Step 3: Cross multiply
    603,654x = 846,009.75 × 846,009.75
  4. Step 4: Simplify right side
    603,654x = 715,732,497,095.06
  5. Step 5: Solve for x
    x = 715,732,497,095.06/603,654
  6. Step 6: Final answer
    x = 1,185,666.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.