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Finding the Third Proportional to 814,703 and 1,232,541

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Solution

The third proportional to 814,703 and 1,232,541 is: 1,864,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,703 : 1,232,541 = 1,232,541 : x
  2. Step 2: Convert to fraction form
    814,703/1,232,541 = 1,232,541/x
  3. Step 3: Cross multiply
    814,703x = 1,232,541 × 1,232,541
  4. Step 4: Simplify right side
    814,703x = 1,519,157,316,681
  5. Step 5: Solve for x
    x = 1,519,157,316,681/814,703
  6. Step 6: Final answer
    x = 1,864,676.23

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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.