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Finding the Third Proportional to 468,316 and 1,105,153

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Solution

The third proportional to 468,316 and 1,105,153 is: 2,607,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,316 : 1,105,153 = 1,105,153 : x
  2. Step 2: Convert to fraction form
    468,316/1,105,153 = 1,105,153/x
  3. Step 3: Cross multiply
    468,316x = 1,105,153 × 1,105,153
  4. Step 4: Simplify right side
    468,316x = 1,221,363,153,409
  5. Step 5: Solve for x
    x = 1,221,363,153,409/468,316
  6. Step 6: Final answer
    x = 2,607,989.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.