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Finding the Third Proportional to 669,633 and 1,010,487

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Solution

The third proportional to 669,633 and 1,010,487 is: 1,524,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,633 : 1,010,487 = 1,010,487 : x
  2. Step 2: Convert to fraction form
    669,633/1,010,487 = 1,010,487/x
  3. Step 3: Cross multiply
    669,633x = 1,010,487 × 1,010,487
  4. Step 4: Simplify right side
    669,633x = 1,021,083,977,169
  5. Step 5: Solve for x
    x = 1,021,083,977,169/669,633
  6. Step 6: Final answer
    x = 1,524,841.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.