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Finding the Third Proportional to 761,646 and 1,672,732

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Solution

The third proportional to 761,646 and 1,672,732 is: 3,673,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,646 : 1,672,732 = 1,672,732 : x
  2. Step 2: Convert to fraction form
    761,646/1,672,732 = 1,672,732/x
  3. Step 3: Cross multiply
    761,646x = 1,672,732 × 1,672,732
  4. Step 4: Simplify right side
    761,646x = 2,798,032,343,824
  5. Step 5: Solve for x
    x = 2,798,032,343,824/761,646
  6. Step 6: Final answer
    x = 3,673,665.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.