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Finding the Third Proportional to 714,412 and 1,088,366

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Solution

The third proportional to 714,412 and 1,088,366 is: 1,658,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,412 : 1,088,366 = 1,088,366 : x
  2. Step 2: Convert to fraction form
    714,412/1,088,366 = 1,088,366/x
  3. Step 3: Cross multiply
    714,412x = 1,088,366 × 1,088,366
  4. Step 4: Simplify right side
    714,412x = 1,184,540,549,956
  5. Step 5: Solve for x
    x = 1,184,540,549,956/714,412
  6. Step 6: Final answer
    x = 1,658,063.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.