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Finding the Third Proportional to 484,672 and 992,854

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Solution

The third proportional to 484,672 and 992,854 is: 2,033,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,672 : 992,854 = 992,854 : x
  2. Step 2: Convert to fraction form
    484,672/992,854 = 992,854/x
  3. Step 3: Cross multiply
    484,672x = 992,854 × 992,854
  4. Step 4: Simplify right side
    484,672x = 985,759,065,316
  5. Step 5: Solve for x
    x = 985,759,065,316/484,672
  6. Step 6: Final answer
    x = 2,033,868.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.