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Finding the Third Proportional to 694,018.13 and 1,035,244.13

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Solution

The third proportional to 694,018.13 and 1,035,244.13 is: 1,544,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,018.13 : 1,035,244.13 = 1,035,244.13 : x
  2. Step 2: Convert to fraction form
    694,018.13/1,035,244.13 = 1,035,244.13/x
  3. Step 3: Cross multiply
    694,018.13x = 1,035,244.13 × 1,035,244.13
  4. Step 4: Simplify right side
    694,018.13x = 1,071,730,398,347.02
  5. Step 5: Solve for x
    x = 1,071,730,398,347.02/694,018.13
  6. Step 6: Final answer
    x = 1,544,239.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.