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Finding the Third Proportional to 711,549.75 and 1,536,710.06

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Solution

The third proportional to 711,549.75 and 1,536,710.06 is: 3,318,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,549.75 : 1,536,710.06 = 1,536,710.06 : x
  2. Step 2: Convert to fraction form
    711,549.75/1,536,710.06 = 1,536,710.06/x
  3. Step 3: Cross multiply
    711,549.75x = 1,536,710.06 × 1,536,710.06
  4. Step 4: Simplify right side
    711,549.75x = 2,361,477,816,188.75
  5. Step 5: Solve for x
    x = 2,361,477,816,188.75/711,549.75
  6. Step 6: Final answer
    x = 3,318,781.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.