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Finding the Third Proportional to 520,156 and 1,117,908

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Solution

The third proportional to 520,156 and 1,117,908 is: 2,402,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,156 : 1,117,908 = 1,117,908 : x
  2. Step 2: Convert to fraction form
    520,156/1,117,908 = 1,117,908/x
  3. Step 3: Cross multiply
    520,156x = 1,117,908 × 1,117,908
  4. Step 4: Simplify right side
    520,156x = 1,249,718,296,464
  5. Step 5: Solve for x
    x = 1,249,718,296,464/520,156
  6. Step 6: Final answer
    x = 2,402,583.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.