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Finding the Third Proportional to 734,040 and 1,087,416

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Solution

The third proportional to 734,040 and 1,087,416 is: 1,610,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,040 : 1,087,416 = 1,087,416 : x
  2. Step 2: Convert to fraction form
    734,040/1,087,416 = 1,087,416/x
  3. Step 3: Cross multiply
    734,040x = 1,087,416 × 1,087,416
  4. Step 4: Simplify right side
    734,040x = 1,182,473,557,056
  5. Step 5: Solve for x
    x = 1,182,473,557,056/734,040
  6. Step 6: Final answer
    x = 1,610,911.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.