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Finding the Third Proportional to 985,952 and 1,408,944

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Solution

The third proportional to 985,952 and 1,408,944 is: 2,013,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,952 : 1,408,944 = 1,408,944 : x
  2. Step 2: Convert to fraction form
    985,952/1,408,944 = 1,408,944/x
  3. Step 3: Cross multiply
    985,952x = 1,408,944 × 1,408,944
  4. Step 4: Simplify right side
    985,952x = 1,985,123,195,136
  5. Step 5: Solve for x
    x = 1,985,123,195,136/985,952
  6. Step 6: Final answer
    x = 2,013,407.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.