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Finding the Third Proportional to 688,345 and 1,476,290

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Solution

The third proportional to 688,345 and 1,476,290 is: 3,166,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,345 : 1,476,290 = 1,476,290 : x
  2. Step 2: Convert to fraction form
    688,345/1,476,290 = 1,476,290/x
  3. Step 3: Cross multiply
    688,345x = 1,476,290 × 1,476,290
  4. Step 4: Simplify right side
    688,345x = 2,179,432,164,100
  5. Step 5: Solve for x
    x = 2,179,432,164,100/688,345
  6. Step 6: Final answer
    x = 3,166,191.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.