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Finding the Third Proportional to 1,214,100 and 1,748,830

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Solution

The third proportional to 1,214,100 and 1,748,830 is: 2,519,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,100 : 1,748,830 = 1,748,830 : x
  2. Step 2: Convert to fraction form
    1,214,100/1,748,830 = 1,748,830/x
  3. Step 3: Cross multiply
    1,214,100x = 1,748,830 × 1,748,830
  4. Step 4: Simplify right side
    1,214,100x = 3,058,406,368,900
  5. Step 5: Solve for x
    x = 3,058,406,368,900/1,214,100
  6. Step 6: Final answer
    x = 2,519,072.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.