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Finding the Third Proportional to 2,160,234 and 4,727,316

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Solution

The third proportional to 2,160,234 and 4,727,316 is: 10,344,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,234 : 4,727,316 = 4,727,316 : x
  2. Step 2: Convert to fraction form
    2,160,234/4,727,316 = 4,727,316/x
  3. Step 3: Cross multiply
    2,160,234x = 4,727,316 × 4,727,316
  4. Step 4: Simplify right side
    2,160,234x = 22,347,516,563,856
  5. Step 5: Solve for x
    x = 22,347,516,563,856/2,160,234
  6. Step 6: Final answer
    x = 10,344,951.78

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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.