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Finding the Third Proportional to 688,051 and 1,554,488

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Solution

The third proportional to 688,051 and 1,554,488 is: 3,511,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,051 : 1,554,488 = 1,554,488 : x
  2. Step 2: Convert to fraction form
    688,051/1,554,488 = 1,554,488/x
  3. Step 3: Cross multiply
    688,051x = 1,554,488 × 1,554,488
  4. Step 4: Simplify right side
    688,051x = 2,416,432,942,144
  5. Step 5: Solve for x
    x = 2,416,432,942,144/688,051
  6. Step 6: Final answer
    x = 3,511,996.85

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.