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Finding the Third Proportional to 554,931 and 830,871

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Solution

The third proportional to 554,931 and 830,871 is: 1,244,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,931 : 830,871 = 830,871 : x
  2. Step 2: Convert to fraction form
    554,931/830,871 = 830,871/x
  3. Step 3: Cross multiply
    554,931x = 830,871 × 830,871
  4. Step 4: Simplify right side
    554,931x = 690,346,618,641
  5. Step 5: Solve for x
    x = 690,346,618,641/554,931
  6. Step 6: Final answer
    x = 1,244,022.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.