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Finding the Third Proportional to 1,094,958 and 1,464,652.13

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Solution

The third proportional to 1,094,958 and 1,464,652.13 is: 1,959,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,958 : 1,464,652.13 = 1,464,652.13 : x
  2. Step 2: Convert to fraction form
    1,094,958/1,464,652.13 = 1,464,652.13/x
  3. Step 3: Cross multiply
    1,094,958x = 1,464,652.13 × 1,464,652.13
  4. Step 4: Simplify right side
    1,094,958x = 2,145,205,847,267.02
  5. Step 5: Solve for x
    x = 2,145,205,847,267.02/1,094,958
  6. Step 6: Final answer
    x = 1,959,167.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.