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Finding the Third Proportional to 814,430 and 1,242,705

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Solution

The third proportional to 814,430 and 1,242,705 is: 1,896,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,430 : 1,242,705 = 1,242,705 : x
  2. Step 2: Convert to fraction form
    814,430/1,242,705 = 1,242,705/x
  3. Step 3: Cross multiply
    814,430x = 1,242,705 × 1,242,705
  4. Step 4: Simplify right side
    814,430x = 1,544,315,717,025
  5. Step 5: Solve for x
    x = 1,544,315,717,025/814,430
  6. Step 6: Final answer
    x = 1,896,192.08

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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.