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Finding the Third Proportional to 407,010 and 884,082

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Solution

The third proportional to 407,010 and 884,082 is: 1,920,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,010 : 884,082 = 884,082 : x
  2. Step 2: Convert to fraction form
    407,010/884,082 = 884,082/x
  3. Step 3: Cross multiply
    407,010x = 884,082 × 884,082
  4. Step 4: Simplify right side
    407,010x = 781,600,982,724
  5. Step 5: Solve for x
    x = 781,600,982,724/407,010
  6. Step 6: Final answer
    x = 1,920,348.35

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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.