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Finding the Third Proportional to 611,912 and 1,312,407

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Solution

The third proportional to 611,912 and 1,312,407 is: 2,814,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,912 : 1,312,407 = 1,312,407 : x
  2. Step 2: Convert to fraction form
    611,912/1,312,407 = 1,312,407/x
  3. Step 3: Cross multiply
    611,912x = 1,312,407 × 1,312,407
  4. Step 4: Simplify right side
    611,912x = 1,722,412,133,649
  5. Step 5: Solve for x
    x = 1,722,412,133,649/611,912
  6. Step 6: Final answer
    x = 2,814,803.65

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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.