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Finding the Third Proportional to 872,942 and 1,312,659

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Solution

The third proportional to 872,942 and 1,312,659 is: 1,973,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,942 : 1,312,659 = 1,312,659 : x
  2. Step 2: Convert to fraction form
    872,942/1,312,659 = 1,312,659/x
  3. Step 3: Cross multiply
    872,942x = 1,312,659 × 1,312,659
  4. Step 4: Simplify right side
    872,942x = 1,723,073,650,281
  5. Step 5: Solve for x
    x = 1,723,073,650,281/872,942
  6. Step 6: Final answer
    x = 1,973,869.57

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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.