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Finding the Third Proportional to 1,088,163 and 1,690,627.50

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Solution

The third proportional to 1,088,163 and 1,690,627.50 is: 2,626,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088,163 : 1,690,627.50 = 1,690,627.50 : x
  2. Step 2: Convert to fraction form
    1,088,163/1,690,627.50 = 1,690,627.50/x
  3. Step 3: Cross multiply
    1,088,163x = 1,690,627.50 × 1,690,627.50
  4. Step 4: Simplify right side
    1,088,163x = 2,858,221,343,756.25
  5. Step 5: Solve for x
    x = 2,858,221,343,756.25/1,088,163
  6. Step 6: Final answer
    x = 2,626,648.16

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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.