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Finding the Third Proportional to 751,263.56 and 1,164,000.19

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Solution

The third proportional to 751,263.56 and 1,164,000.19 is: 1,803,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,263.56 : 1,164,000.19 = 1,164,000.19 : x
  2. Step 2: Convert to fraction form
    751,263.56/1,164,000.19 = 1,164,000.19/x
  3. Step 3: Cross multiply
    751,263.56x = 1,164,000.19 × 1,164,000.19
  4. Step 4: Simplify right side
    751,263.56x = 1,354,896,436,500.04
  5. Step 5: Solve for x
    x = 1,354,896,436,500.04/751,263.56
  6. Step 6: Final answer
    x = 1,803,490.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.