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Finding the Third Proportional to 634,536 and 934,260

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Solution

The third proportional to 634,536 and 934,260 is: 1,375,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,536 : 934,260 = 934,260 : x
  2. Step 2: Convert to fraction form
    634,536/934,260 = 934,260/x
  3. Step 3: Cross multiply
    634,536x = 934,260 × 934,260
  4. Step 4: Simplify right side
    634,536x = 872,841,747,600
  5. Step 5: Solve for x
    x = 872,841,747,600/634,536
  6. Step 6: Final answer
    x = 1,375,559.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.