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Finding the Third Proportional to 690,703.88 and 1,414,607.63

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Solution

The third proportional to 690,703.88 and 1,414,607.63 is: 2,897,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,703.88 : 1,414,607.63 = 1,414,607.63 : x
  2. Step 2: Convert to fraction form
    690,703.88/1,414,607.63 = 1,414,607.63/x
  3. Step 3: Cross multiply
    690,703.88x = 1,414,607.63 × 1,414,607.63
  4. Step 4: Simplify right side
    690,703.88x = 2,001,114,732,708.14
  5. Step 5: Solve for x
    x = 2,001,114,732,708.14/690,703.88
  6. Step 6: Final answer
    x = 2,897,210.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.