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Finding the Third Proportional to 849,498 and 1,824,932

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Solution

The third proportional to 849,498 and 1,824,932 is: 3,920,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,498 : 1,824,932 = 1,824,932 : x
  2. Step 2: Convert to fraction form
    849,498/1,824,932 = 1,824,932/x
  3. Step 3: Cross multiply
    849,498x = 1,824,932 × 1,824,932
  4. Step 4: Simplify right side
    849,498x = 3,330,376,804,624
  5. Step 5: Solve for x
    x = 3,330,376,804,624/849,498
  6. Step 6: Final answer
    x = 3,920,405.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.