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Finding the Third Proportional to 977,484 and 1,431,234

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Solution

The third proportional to 977,484 and 1,431,234 is: 2,095,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,484 : 1,431,234 = 1,431,234 : x
  2. Step 2: Convert to fraction form
    977,484/1,431,234 = 1,431,234/x
  3. Step 3: Cross multiply
    977,484x = 1,431,234 × 1,431,234
  4. Step 4: Simplify right side
    977,484x = 2,048,430,762,756
  5. Step 5: Solve for x
    x = 2,048,430,762,756/977,484
  6. Step 6: Final answer
    x = 2,095,615.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.