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Finding the Third Proportional to 772,705.12 and 1,135,905.16

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Solution

The third proportional to 772,705.12 and 1,135,905.16 is: 1,669,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,705.12 : 1,135,905.16 = 1,135,905.16 : x
  2. Step 2: Convert to fraction form
    772,705.12/1,135,905.16 = 1,135,905.16/x
  3. Step 3: Cross multiply
    772,705.12x = 1,135,905.16 × 1,135,905.16
  4. Step 4: Simplify right side
    772,705.12x = 1,290,280,535,088.13
  5. Step 5: Solve for x
    x = 1,290,280,535,088.13/772,705.12
  6. Step 6: Final answer
    x = 1,669,822.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.