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Finding the Third Proportional to 614,323 and 930,071

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Solution

The third proportional to 614,323 and 930,071 is: 1,408,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,323 : 930,071 = 930,071 : x
  2. Step 2: Convert to fraction form
    614,323/930,071 = 930,071/x
  3. Step 3: Cross multiply
    614,323x = 930,071 × 930,071
  4. Step 4: Simplify right side
    614,323x = 865,032,065,041
  5. Step 5: Solve for x
    x = 865,032,065,041/614,323
  6. Step 6: Final answer
    x = 1,408,106.27

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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.