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Finding the Third Proportional to 810,905 and 1,243,833

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Solution

The third proportional to 810,905 and 1,243,833 is: 1,907,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,905 : 1,243,833 = 1,243,833 : x
  2. Step 2: Convert to fraction form
    810,905/1,243,833 = 1,243,833/x
  3. Step 3: Cross multiply
    810,905x = 1,243,833 × 1,243,833
  4. Step 4: Simplify right side
    810,905x = 1,547,120,531,889
  5. Step 5: Solve for x
    x = 1,547,120,531,889/810,905
  6. Step 6: Final answer
    x = 1,907,893.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.