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Finding the Third Proportional to 452,654 and 992,354

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Solution

The third proportional to 452,654 and 992,354 is: 2,175,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,654 : 992,354 = 992,354 : x
  2. Step 2: Convert to fraction form
    452,654/992,354 = 992,354/x
  3. Step 3: Cross multiply
    452,654x = 992,354 × 992,354
  4. Step 4: Simplify right side
    452,654x = 984,766,461,316
  5. Step 5: Solve for x
    x = 984,766,461,316/452,654
  6. Step 6: Final answer
    x = 2,175,539.07

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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.