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Finding the Third Proportional to 611,120 and 967,466

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Solution

The third proportional to 611,120 and 967,466 is: 1,531,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,120 : 967,466 = 967,466 : x
  2. Step 2: Convert to fraction form
    611,120/967,466 = 967,466/x
  3. Step 3: Cross multiply
    611,120x = 967,466 × 967,466
  4. Step 4: Simplify right side
    611,120x = 935,990,461,156
  5. Step 5: Solve for x
    x = 935,990,461,156/611,120
  6. Step 6: Final answer
    x = 1,531,598.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.