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Finding the Third Proportional to 709,431.75 and 1,071,511.88

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Solution

The third proportional to 709,431.75 and 1,071,511.88 is: 1,618,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,431.75 : 1,071,511.88 = 1,071,511.88 : x
  2. Step 2: Convert to fraction form
    709,431.75/1,071,511.88 = 1,071,511.88/x
  3. Step 3: Cross multiply
    709,431.75x = 1,071,511.88 × 1,071,511.88
  4. Step 4: Simplify right side
    709,431.75x = 1,148,137,698,266.02
  5. Step 5: Solve for x
    x = 1,148,137,698,266.02/709,431.75
  6. Step 6: Final answer
    x = 1,618,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.