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Finding the Third Proportional to 651,186 and 1,006,302

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Solution

The third proportional to 651,186 and 1,006,302 is: 1,555,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,186 : 1,006,302 = 1,006,302 : x
  2. Step 2: Convert to fraction form
    651,186/1,006,302 = 1,006,302/x
  3. Step 3: Cross multiply
    651,186x = 1,006,302 × 1,006,302
  4. Step 4: Simplify right side
    651,186x = 1,012,643,715,204
  5. Step 5: Solve for x
    x = 1,012,643,715,204/651,186
  6. Step 6: Final answer
    x = 1,555,075.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.