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Finding the Third Proportional to 416,996 and 898,840

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Solution

The third proportional to 416,996 and 898,840 is: 1,937,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,996 : 898,840 = 898,840 : x
  2. Step 2: Convert to fraction form
    416,996/898,840 = 898,840/x
  3. Step 3: Cross multiply
    416,996x = 898,840 × 898,840
  4. Step 4: Simplify right side
    416,996x = 807,913,345,600
  5. Step 5: Solve for x
    x = 807,913,345,600/416,996
  6. Step 6: Final answer
    x = 1,937,460.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.