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Finding the Third Proportional to 873,114 and 1,312,919

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Solution

The third proportional to 873,114 and 1,312,919 is: 1,974,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,114 : 1,312,919 = 1,312,919 : x
  2. Step 2: Convert to fraction form
    873,114/1,312,919 = 1,312,919/x
  3. Step 3: Cross multiply
    873,114x = 1,312,919 × 1,312,919
  4. Step 4: Simplify right side
    873,114x = 1,723,756,300,561
  5. Step 5: Solve for x
    x = 1,723,756,300,561/873,114
  6. Step 6: Final answer
    x = 1,974,262.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.