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Finding the Third Proportional to 899,306 and 1,957,246

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Solution

The third proportional to 899,306 and 1,957,246 is: 4,259,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,306 : 1,957,246 = 1,957,246 : x
  2. Step 2: Convert to fraction form
    899,306/1,957,246 = 1,957,246/x
  3. Step 3: Cross multiply
    899,306x = 1,957,246 × 1,957,246
  4. Step 4: Simplify right side
    899,306x = 3,830,811,904,516
  5. Step 5: Solve for x
    x = 3,830,811,904,516/899,306
  6. Step 6: Final answer
    x = 4,259,742.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.