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Finding the Third Proportional to 471,520 and 1,018,340

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Solution

The third proportional to 471,520 and 1,018,340 is: 2,199,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,520 : 1,018,340 = 1,018,340 : x
  2. Step 2: Convert to fraction form
    471,520/1,018,340 = 1,018,340/x
  3. Step 3: Cross multiply
    471,520x = 1,018,340 × 1,018,340
  4. Step 4: Simplify right side
    471,520x = 1,037,016,355,600
  5. Step 5: Solve for x
    x = 1,037,016,355,600/471,520
  6. Step 6: Final answer
    x = 2,199,305.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.