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Finding the Third Proportional to 423,174 and 922,316

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Solution

The third proportional to 423,174 and 922,316 is: 2,010,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,174 : 922,316 = 922,316 : x
  2. Step 2: Convert to fraction form
    423,174/922,316 = 922,316/x
  3. Step 3: Cross multiply
    423,174x = 922,316 × 922,316
  4. Step 4: Simplify right side
    423,174x = 850,666,803,856
  5. Step 5: Solve for x
    x = 850,666,803,856/423,174
  6. Step 6: Final answer
    x = 2,010,205.74

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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.