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Finding the Third Proportional to 761,072 and 1,641,130

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Solution

The third proportional to 761,072 and 1,641,130 is: 3,538,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,072 : 1,641,130 = 1,641,130 : x
  2. Step 2: Convert to fraction form
    761,072/1,641,130 = 1,641,130/x
  3. Step 3: Cross multiply
    761,072x = 1,641,130 × 1,641,130
  4. Step 4: Simplify right side
    761,072x = 2,693,307,676,900
  5. Step 5: Solve for x
    x = 2,693,307,676,900/761,072
  6. Step 6: Final answer
    x = 3,538,834.27

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