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Finding the Third Proportional to 475,110 and 1,056,465

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Solution

The third proportional to 475,110 and 1,056,465 is: 2,349,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,110 : 1,056,465 = 1,056,465 : x
  2. Step 2: Convert to fraction form
    475,110/1,056,465 = 1,056,465/x
  3. Step 3: Cross multiply
    475,110x = 1,056,465 × 1,056,465
  4. Step 4: Simplify right side
    475,110x = 1,116,118,296,225
  5. Step 5: Solve for x
    x = 1,116,118,296,225/475,110
  6. Step 6: Final answer
    x = 2,349,178.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.