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Finding the Third Proportional to 671,981 and 1,450,854

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Solution

The third proportional to 671,981 and 1,450,854 is: 3,132,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,981 : 1,450,854 = 1,450,854 : x
  2. Step 2: Convert to fraction form
    671,981/1,450,854 = 1,450,854/x
  3. Step 3: Cross multiply
    671,981x = 1,450,854 × 1,450,854
  4. Step 4: Simplify right side
    671,981x = 2,104,977,329,316
  5. Step 5: Solve for x
    x = 2,104,977,329,316/671,981
  6. Step 6: Final answer
    x = 3,132,495.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.