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Finding the Third Proportional to 710,887 and 1,565,864

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Solution

The third proportional to 710,887 and 1,565,864 is: 3,449,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,887 : 1,565,864 = 1,565,864 : x
  2. Step 2: Convert to fraction form
    710,887/1,565,864 = 1,565,864/x
  3. Step 3: Cross multiply
    710,887x = 1,565,864 × 1,565,864
  4. Step 4: Simplify right side
    710,887x = 2,451,930,066,496
  5. Step 5: Solve for x
    x = 2,451,930,066,496/710,887
  6. Step 6: Final answer
    x = 3,449,113.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.