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Finding the Third Proportional to 601,725 and 1,311,369

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Solution

The third proportional to 601,725 and 1,311,369 is: 2,857,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,725 : 1,311,369 = 1,311,369 : x
  2. Step 2: Convert to fraction form
    601,725/1,311,369 = 1,311,369/x
  3. Step 3: Cross multiply
    601,725x = 1,311,369 × 1,311,369
  4. Step 4: Simplify right side
    601,725x = 1,719,688,654,161
  5. Step 5: Solve for x
    x = 1,719,688,654,161/601,725
  6. Step 6: Final answer
    x = 2,857,931.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.