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Finding the Third Proportional to 619,449.19 and 902,210.06

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Solution

The third proportional to 619,449.19 and 902,210.06 is: 1,314,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,449.19 : 902,210.06 = 902,210.06 : x
  2. Step 2: Convert to fraction form
    619,449.19/902,210.06 = 902,210.06/x
  3. Step 3: Cross multiply
    619,449.19x = 902,210.06 × 902,210.06
  4. Step 4: Simplify right side
    619,449.19x = 813,982,996,876.25
  5. Step 5: Solve for x
    x = 813,982,996,876.25/619,449.19
  6. Step 6: Final answer
    x = 1,314,043.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.