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Finding the Third Proportional to 703,815 and 1,090,714.50

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Solution

The third proportional to 703,815 and 1,090,714.50 is: 1,690,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,815 : 1,090,714.50 = 1,090,714.50 : x
  2. Step 2: Convert to fraction form
    703,815/1,090,714.50 = 1,090,714.50/x
  3. Step 3: Cross multiply
    703,815x = 1,090,714.50 × 1,090,714.50
  4. Step 4: Simplify right side
    703,815x = 1,189,658,120,510.25
  5. Step 5: Solve for x
    x = 1,189,658,120,510.25/703,815
  6. Step 6: Final answer
    x = 1,690,299.47

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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.