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Finding the Third Proportional to 611,838 and 1,312,249.50

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Solution

The third proportional to 611,838 and 1,312,249.50 is: 2,814,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,838 : 1,312,249.50 = 1,312,249.50 : x
  2. Step 2: Convert to fraction form
    611,838/1,312,249.50 = 1,312,249.50/x
  3. Step 3: Cross multiply
    611,838x = 1,312,249.50 × 1,312,249.50
  4. Step 4: Simplify right side
    611,838x = 1,721,998,750,250.25
  5. Step 5: Solve for x
    x = 1,721,998,750,250.25/611,838
  6. Step 6: Final answer
    x = 2,814,468.45

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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.