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Finding the Third Proportional to 655,974 and 1,011,980.25

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Solution

The third proportional to 655,974 and 1,011,980.25 is: 1,561,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,974 : 1,011,980.25 = 1,011,980.25 : x
  2. Step 2: Convert to fraction form
    655,974/1,011,980.25 = 1,011,980.25/x
  3. Step 3: Cross multiply
    655,974x = 1,011,980.25 × 1,011,980.25
  4. Step 4: Simplify right side
    655,974x = 1,024,104,026,390.06
  5. Step 5: Solve for x
    x = 1,024,104,026,390.06/655,974
  6. Step 6: Final answer
    x = 1,561,196.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.