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Finding the Third Proportional to 849,147 and 1,363,527

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Solution

The third proportional to 849,147 and 1,363,527 is: 2,189,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,147 : 1,363,527 = 1,363,527 : x
  2. Step 2: Convert to fraction form
    849,147/1,363,527 = 1,363,527/x
  3. Step 3: Cross multiply
    849,147x = 1,363,527 × 1,363,527
  4. Step 4: Simplify right side
    849,147x = 1,859,205,879,729
  5. Step 5: Solve for x
    x = 1,859,205,879,729/849,147
  6. Step 6: Final answer
    x = 2,189,498.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.