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Finding the Third Proportional to 619,312 and 905,071

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Solution

The third proportional to 619,312 and 905,071 is: 1,322,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,312 : 905,071 = 905,071 : x
  2. Step 2: Convert to fraction form
    619,312/905,071 = 905,071/x
  3. Step 3: Cross multiply
    619,312x = 905,071 × 905,071
  4. Step 4: Simplify right side
    619,312x = 819,153,515,041
  5. Step 5: Solve for x
    x = 819,153,515,041/619,312
  6. Step 6: Final answer
    x = 1,322,683.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.