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Finding the Third Proportional to 714,546 and 1,545,732

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Solution

The third proportional to 714,546 and 1,545,732 is: 3,343,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,546 : 1,545,732 = 1,545,732 : x
  2. Step 2: Convert to fraction form
    714,546/1,545,732 = 1,545,732/x
  3. Step 3: Cross multiply
    714,546x = 1,545,732 × 1,545,732
  4. Step 4: Simplify right side
    714,546x = 2,389,287,415,824
  5. Step 5: Solve for x
    x = 2,389,287,415,824/714,546
  6. Step 6: Final answer
    x = 3,343,783.91

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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.