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Finding the Third Proportional to 688,434 and 1,052,370

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Solution

The third proportional to 688,434 and 1,052,370 is: 1,608,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,434 : 1,052,370 = 1,052,370 : x
  2. Step 2: Convert to fraction form
    688,434/1,052,370 = 1,052,370/x
  3. Step 3: Cross multiply
    688,434x = 1,052,370 × 1,052,370
  4. Step 4: Simplify right side
    688,434x = 1,107,482,616,900
  5. Step 5: Solve for x
    x = 1,107,482,616,900/688,434
  6. Step 6: Final answer
    x = 1,608,698.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.