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Finding the Third Proportional to 985,958 and 1,408,953

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Solution

The third proportional to 985,958 and 1,408,953 is: 2,013,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,958 : 1,408,953 = 1,408,953 : x
  2. Step 2: Convert to fraction form
    985,958/1,408,953 = 1,408,953/x
  3. Step 3: Cross multiply
    985,958x = 1,408,953 × 1,408,953
  4. Step 4: Simplify right side
    985,958x = 1,985,148,556,209
  5. Step 5: Solve for x
    x = 1,985,148,556,209/985,958
  6. Step 6: Final answer
    x = 2,013,421.01

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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.