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Finding the Third Proportional to 714,015 and 1,545,642

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Solution

The third proportional to 714,015 and 1,545,642 is: 3,345,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,015 : 1,545,642 = 1,545,642 : x
  2. Step 2: Convert to fraction form
    714,015/1,545,642 = 1,545,642/x
  3. Step 3: Cross multiply
    714,015x = 1,545,642 × 1,545,642
  4. Step 4: Simplify right side
    714,015x = 2,389,009,192,164
  5. Step 5: Solve for x
    x = 2,389,009,192,164/714,015
  6. Step 6: Final answer
    x = 3,345,880.96

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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.