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Finding the Third Proportional to 992,473 and 2,152,979

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Solution

The third proportional to 992,473 and 2,152,979 is: 4,670,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,473 : 2,152,979 = 2,152,979 : x
  2. Step 2: Convert to fraction form
    992,473/2,152,979 = 2,152,979/x
  3. Step 3: Cross multiply
    992,473x = 2,152,979 × 2,152,979
  4. Step 4: Simplify right side
    992,473x = 4,635,318,574,441
  5. Step 5: Solve for x
    x = 4,635,318,574,441/992,473
  6. Step 6: Final answer
    x = 4,670,473.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.