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Finding the Third Proportional to 1,153,980 and 1,791,463.50

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Solution

The third proportional to 1,153,980 and 1,791,463.50 is: 2,781,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,980 : 1,791,463.50 = 1,791,463.50 : x
  2. Step 2: Convert to fraction form
    1,153,980/1,791,463.50 = 1,791,463.50/x
  3. Step 3: Cross multiply
    1,153,980x = 1,791,463.50 × 1,791,463.50
  4. Step 4: Simplify right side
    1,153,980x = 3,209,341,471,832.25
  5. Step 5: Solve for x
    x = 3,209,341,471,832.25/1,153,980
  6. Step 6: Final answer
    x = 2,781,106.67

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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.