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Finding the Third Proportional to 452,658 and 992,362

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Solution

The third proportional to 452,658 and 992,362 is: 2,175,554.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,658 : 992,362 = 992,362 : x
  2. Step 2: Convert to fraction form
    452,658/992,362 = 992,362/x
  3. Step 3: Cross multiply
    452,658x = 992,362 × 992,362
  4. Step 4: Simplify right side
    452,658x = 984,782,339,044
  5. Step 5: Solve for x
    x = 984,782,339,044/452,658
  6. Step 6: Final answer
    x = 2,175,554.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.