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Finding the Third Proportional to 669,346.88 and 1,019,707.31

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Solution

The third proportional to 669,346.88 and 1,019,707.31 is: 1,553,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,346.88 : 1,019,707.31 = 1,019,707.31 : x
  2. Step 2: Convert to fraction form
    669,346.88/1,019,707.31 = 1,019,707.31/x
  3. Step 3: Cross multiply
    669,346.88x = 1,019,707.31 × 1,019,707.31
  4. Step 4: Simplify right side
    669,346.88x = 1,039,803,003,165.97
  5. Step 5: Solve for x
    x = 1,039,803,003,165.97/669,346.88
  6. Step 6: Final answer
    x = 1,553,459.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.