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Finding the Third Proportional to 610,439 and 967,341

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Solution

The third proportional to 610,439 and 967,341 is: 1,532,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,439 : 967,341 = 967,341 : x
  2. Step 2: Convert to fraction form
    610,439/967,341 = 967,341/x
  3. Step 3: Cross multiply
    610,439x = 967,341 × 967,341
  4. Step 4: Simplify right side
    610,439x = 935,748,610,281
  5. Step 5: Solve for x
    x = 935,748,610,281/610,439
  6. Step 6: Final answer
    x = 1,532,910.92

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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.