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Finding the Third Proportional to 416,261 and 891,585

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Solution

The third proportional to 416,261 and 891,585 is: 1,909,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,261 : 891,585 = 891,585 : x
  2. Step 2: Convert to fraction form
    416,261/891,585 = 891,585/x
  3. Step 3: Cross multiply
    416,261x = 891,585 × 891,585
  4. Step 4: Simplify right side
    416,261x = 794,923,812,225
  5. Step 5: Solve for x
    x = 794,923,812,225/416,261
  6. Step 6: Final answer
    x = 1,909,676.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.