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Finding the Third Proportional to 1,430,761.22 and 3,068,809.03

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Solution

The third proportional to 1,430,761.22 and 3,068,809.03 is: 6,582,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,761.22 : 3,068,809.03 = 3,068,809.03 : x
  2. Step 2: Convert to fraction form
    1,430,761.22/3,068,809.03 = 3,068,809.03/x
  3. Step 3: Cross multiply
    1,430,761.22x = 3,068,809.03 × 3,068,809.03
  4. Step 4: Simplify right side
    1,430,761.22x = 9,417,588,870,281.56
  5. Step 5: Solve for x
    x = 9,417,588,870,281.56/1,430,761.22
  6. Step 6: Final answer
    x = 6,582,222.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.