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Finding the Third Proportional to 649,332 and 1,423,196

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Solution

The third proportional to 649,332 and 1,423,196 is: 3,119,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,332 : 1,423,196 = 1,423,196 : x
  2. Step 2: Convert to fraction form
    649,332/1,423,196 = 1,423,196/x
  3. Step 3: Cross multiply
    649,332x = 1,423,196 × 1,423,196
  4. Step 4: Simplify right side
    649,332x = 2,025,486,854,416
  5. Step 5: Solve for x
    x = 2,025,486,854,416/649,332
  6. Step 6: Final answer
    x = 3,119,339.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.