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Finding the Third Proportional to 655,616 and 1,012,540

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Solution

The third proportional to 655,616 and 1,012,540 is: 1,563,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,616 : 1,012,540 = 1,012,540 : x
  2. Step 2: Convert to fraction form
    655,616/1,012,540 = 1,012,540/x
  3. Step 3: Cross multiply
    655,616x = 1,012,540 × 1,012,540
  4. Step 4: Simplify right side
    655,616x = 1,025,237,251,600
  5. Step 5: Solve for x
    x = 1,025,237,251,600/655,616
  6. Step 6: Final answer
    x = 1,563,777.05

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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.