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Finding the Third Proportional to 634,394 and 934,068

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Solution

The third proportional to 634,394 and 934,068 is: 1,375,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,394 : 934,068 = 934,068 : x
  2. Step 2: Convert to fraction form
    634,394/934,068 = 934,068/x
  3. Step 3: Cross multiply
    634,394x = 934,068 × 934,068
  4. Step 4: Simplify right side
    634,394x = 872,483,028,624
  5. Step 5: Solve for x
    x = 872,483,028,624/634,394
  6. Step 6: Final answer
    x = 1,375,301.51

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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.