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Finding the Third Proportional to 772,141 and 1,173,954.50

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Solution

The third proportional to 772,141 and 1,173,954.50 is: 1,784,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,141 : 1,173,954.50 = 1,173,954.50 : x
  2. Step 2: Convert to fraction form
    772,141/1,173,954.50 = 1,173,954.50/x
  3. Step 3: Cross multiply
    772,141x = 1,173,954.50 × 1,173,954.50
  4. Step 4: Simplify right side
    772,141x = 1,378,169,168,070.25
  5. Step 5: Solve for x
    x = 1,378,169,168,070.25/772,141
  6. Step 6: Final answer
    x = 1,784,867.23

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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.