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Finding the Third Proportional to 641,757 and 986,511

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Solution

The third proportional to 641,757 and 986,511 is: 1,516,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,757 : 986,511 = 986,511 : x
  2. Step 2: Convert to fraction form
    641,757/986,511 = 986,511/x
  3. Step 3: Cross multiply
    641,757x = 986,511 × 986,511
  4. Step 4: Simplify right side
    641,757x = 973,203,953,121
  5. Step 5: Solve for x
    x = 973,203,953,121/641,757
  6. Step 6: Final answer
    x = 1,516,468.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.