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Finding the Third Proportional to 714,604 and 970,466

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Solution

The third proportional to 714,604 and 970,466 is: 1,317,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,604 : 970,466 = 970,466 : x
  2. Step 2: Convert to fraction form
    714,604/970,466 = 970,466/x
  3. Step 3: Cross multiply
    714,604x = 970,466 × 970,466
  4. Step 4: Simplify right side
    714,604x = 941,804,257,156
  5. Step 5: Solve for x
    x = 941,804,257,156/714,604
  6. Step 6: Final answer
    x = 1,317,938.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.