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Finding the Third Proportional to 688,406 and 1,482,276

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Solution

The third proportional to 688,406 and 1,482,276 is: 3,191,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,406 : 1,482,276 = 1,482,276 : x
  2. Step 2: Convert to fraction form
    688,406/1,482,276 = 1,482,276/x
  3. Step 3: Cross multiply
    688,406x = 1,482,276 × 1,482,276
  4. Step 4: Simplify right side
    688,406x = 2,197,142,140,176
  5. Step 5: Solve for x
    x = 2,197,142,140,176/688,406
  6. Step 6: Final answer
    x = 3,191,637.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.