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Finding the Third Proportional to 634,392 and 934,065

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Solution

The third proportional to 634,392 and 934,065 is: 1,375,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,392 : 934,065 = 934,065 : x
  2. Step 2: Convert to fraction form
    634,392/934,065 = 934,065/x
  3. Step 3: Cross multiply
    634,392x = 934,065 × 934,065
  4. Step 4: Simplify right side
    634,392x = 872,477,424,225
  5. Step 5: Solve for x
    x = 872,477,424,225/634,392
  6. Step 6: Final answer
    x = 1,375,297.02

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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.