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Finding the Third Proportional to 656,833 and 989,948

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Solution

The third proportional to 656,833 and 989,948 is: 1,492,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,833 : 989,948 = 989,948 : x
  2. Step 2: Convert to fraction form
    656,833/989,948 = 989,948/x
  3. Step 3: Cross multiply
    656,833x = 989,948 × 989,948
  4. Step 4: Simplify right side
    656,833x = 979,997,042,704
  5. Step 5: Solve for x
    x = 979,997,042,704/656,833
  6. Step 6: Final answer
    x = 1,492,003.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.