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Finding the Third Proportional to 810,903 and 1,243,830

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Solution

The third proportional to 810,903 and 1,243,830 is: 1,907,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,903 : 1,243,830 = 1,243,830 : x
  2. Step 2: Convert to fraction form
    810,903/1,243,830 = 1,243,830/x
  3. Step 3: Cross multiply
    810,903x = 1,243,830 × 1,243,830
  4. Step 4: Simplify right side
    810,903x = 1,547,113,068,900
  5. Step 5: Solve for x
    x = 1,547,113,068,900/810,903
  6. Step 6: Final answer
    x = 1,907,889.19

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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.