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Finding the Third Proportional to 410,946 and 883,002

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Solution

The third proportional to 410,946 and 883,002 is: 1,897,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,946 : 883,002 = 883,002 : x
  2. Step 2: Convert to fraction form
    410,946/883,002 = 883,002/x
  3. Step 3: Cross multiply
    410,946x = 883,002 × 883,002
  4. Step 4: Simplify right side
    410,946x = 779,692,532,004
  5. Step 5: Solve for x
    x = 779,692,532,004/410,946
  6. Step 6: Final answer
    x = 1,897,311.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.