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Finding the Third Proportional to 712,926 and 1,484,826

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Solution

The third proportional to 712,926 and 1,484,826 is: 3,092,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,926 : 1,484,826 = 1,484,826 : x
  2. Step 2: Convert to fraction form
    712,926/1,484,826 = 1,484,826/x
  3. Step 3: Cross multiply
    712,926x = 1,484,826 × 1,484,826
  4. Step 4: Simplify right side
    712,926x = 2,204,708,250,276
  5. Step 5: Solve for x
    x = 2,204,708,250,276/712,926
  6. Step 6: Final answer
    x = 3,092,478.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.