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Finding the Third Proportional to 475,276 and 1,056,814

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Solution

The third proportional to 475,276 and 1,056,814 is: 2,349,910.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,276 : 1,056,814 = 1,056,814 : x
  2. Step 2: Convert to fraction form
    475,276/1,056,814 = 1,056,814/x
  3. Step 3: Cross multiply
    475,276x = 1,056,814 × 1,056,814
  4. Step 4: Simplify right side
    475,276x = 1,116,855,830,596
  5. Step 5: Solve for x
    x = 1,116,855,830,596/475,276
  6. Step 6: Final answer
    x = 2,349,910.01

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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.