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Finding the Third Proportional to 1,057,653 and 1,611,265.50

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Solution

The third proportional to 1,057,653 and 1,611,265.50 is: 2,454,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,653 : 1,611,265.50 = 1,611,265.50 : x
  2. Step 2: Convert to fraction form
    1,057,653/1,611,265.50 = 1,611,265.50/x
  3. Step 3: Cross multiply
    1,057,653x = 1,611,265.50 × 1,611,265.50
  4. Step 4: Simplify right side
    1,057,653x = 2,596,176,511,490.25
  5. Step 5: Solve for x
    x = 2,596,176,511,490.25/1,057,653
  6. Step 6: Final answer
    x = 2,454,658.11

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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.