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Finding the Third Proportional to 946,650 and 1,429,831

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Solution

The third proportional to 946,650 and 1,429,831 is: 2,159,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,650 : 1,429,831 = 1,429,831 : x
  2. Step 2: Convert to fraction form
    946,650/1,429,831 = 1,429,831/x
  3. Step 3: Cross multiply
    946,650x = 1,429,831 × 1,429,831
  4. Step 4: Simplify right side
    946,650x = 2,044,416,688,561
  5. Step 5: Solve for x
    x = 2,044,416,688,561/946,650
  6. Step 6: Final answer
    x = 2,159,633.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.