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Finding the Third Proportional to 500,316 and 1,021,008

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Solution

The third proportional to 500,316 and 1,021,008 is: 2,083,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,316 : 1,021,008 = 1,021,008 : x
  2. Step 2: Convert to fraction form
    500,316/1,021,008 = 1,021,008/x
  3. Step 3: Cross multiply
    500,316x = 1,021,008 × 1,021,008
  4. Step 4: Simplify right side
    500,316x = 1,042,457,336,064
  5. Step 5: Solve for x
    x = 1,042,457,336,064/500,316
  6. Step 6: Final answer
    x = 2,083,597.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.