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Finding the Third Proportional to 1,496,553.75 and 2,314,603.13

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Solution

The third proportional to 1,496,553.75 and 2,314,603.13 is: 3,579,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,553.75 : 2,314,603.13 = 2,314,603.13 : x
  2. Step 2: Convert to fraction form
    1,496,553.75/2,314,603.13 = 2,314,603.13/x
  3. Step 3: Cross multiply
    1,496,553.75x = 2,314,603.13 × 2,314,603.13
  4. Step 4: Simplify right side
    1,496,553.75x = 5,357,387,626,259.77
  5. Step 5: Solve for x
    x = 5,357,387,626,259.77/1,496,553.75
  6. Step 6: Final answer
    x = 3,579,816.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.