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Finding the Third Proportional to 699,312 and 1,061,856

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Solution

The third proportional to 699,312 and 1,061,856 is: 1,612,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,312 : 1,061,856 = 1,061,856 : x
  2. Step 2: Convert to fraction form
    699,312/1,061,856 = 1,061,856/x
  3. Step 3: Cross multiply
    699,312x = 1,061,856 × 1,061,856
  4. Step 4: Simplify right side
    699,312x = 1,127,538,164,736
  5. Step 5: Solve for x
    x = 1,127,538,164,736/699,312
  6. Step 6: Final answer
    x = 1,612,353.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.