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Finding the Third Proportional to 552,631 and 1,210,465

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Solution

The third proportional to 552,631 and 1,210,465 is: 2,651,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,631 : 1,210,465 = 1,210,465 : x
  2. Step 2: Convert to fraction form
    552,631/1,210,465 = 1,210,465/x
  3. Step 3: Cross multiply
    552,631x = 1,210,465 × 1,210,465
  4. Step 4: Simplify right side
    552,631x = 1,465,225,516,225
  5. Step 5: Solve for x
    x = 1,465,225,516,225/552,631
  6. Step 6: Final answer
    x = 2,651,363.24

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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.