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Finding the Third Proportional to 688,424 and 1,482,316

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Solution

The third proportional to 688,424 and 1,482,316 is: 3,191,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,424 : 1,482,316 = 1,482,316 : x
  2. Step 2: Convert to fraction form
    688,424/1,482,316 = 1,482,316/x
  3. Step 3: Cross multiply
    688,424x = 1,482,316 × 1,482,316
  4. Step 4: Simplify right side
    688,424x = 2,197,260,723,856
  5. Step 5: Solve for x
    x = 2,197,260,723,856/688,424
  6. Step 6: Final answer
    x = 3,191,725.92

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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.