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Finding the Third Proportional to 655,463.25 and 1,402,011

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Solution

The third proportional to 655,463.25 and 1,402,011 is: 2,998,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,463.25 : 1,402,011 = 1,402,011 : x
  2. Step 2: Convert to fraction form
    655,463.25/1,402,011 = 1,402,011/x
  3. Step 3: Cross multiply
    655,463.25x = 1,402,011 × 1,402,011
  4. Step 4: Simplify right side
    655,463.25x = 1,965,634,844,121
  5. Step 5: Solve for x
    x = 1,965,634,844,121/655,463.25
  6. Step 6: Final answer
    x = 2,998,848.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.