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Finding the Third Proportional to 677,312 and 1,480,558

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Solution

The third proportional to 677,312 and 1,480,558 is: 3,236,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,312 : 1,480,558 = 1,480,558 : x
  2. Step 2: Convert to fraction form
    677,312/1,480,558 = 1,480,558/x
  3. Step 3: Cross multiply
    677,312x = 1,480,558 × 1,480,558
  4. Step 4: Simplify right side
    677,312x = 2,192,051,991,364
  5. Step 5: Solve for x
    x = 2,192,051,991,364/677,312
  6. Step 6: Final answer
    x = 3,236,399.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.