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Finding the Third Proportional to 1,210,464 and 1,758,672

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Solution

The third proportional to 1,210,464 and 1,758,672 is: 2,555,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,464 : 1,758,672 = 1,758,672 : x
  2. Step 2: Convert to fraction form
    1,210,464/1,758,672 = 1,758,672/x
  3. Step 3: Cross multiply
    1,210,464x = 1,758,672 × 1,758,672
  4. Step 4: Simplify right side
    1,210,464x = 3,092,927,203,584
  5. Step 5: Solve for x
    x = 3,092,927,203,584/1,210,464
  6. Step 6: Final answer
    x = 2,555,158.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.