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Finding the Third Proportional to 730,973 and 1,125,005

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Solution

The third proportional to 730,973 and 1,125,005 is: 1,731,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,973 : 1,125,005 = 1,125,005 : x
  2. Step 2: Convert to fraction form
    730,973/1,125,005 = 1,125,005/x
  3. Step 3: Cross multiply
    730,973x = 1,125,005 × 1,125,005
  4. Step 4: Simplify right side
    730,973x = 1,265,636,250,025
  5. Step 5: Solve for x
    x = 1,265,636,250,025/730,973
  6. Step 6: Final answer
    x = 1,731,440.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.