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Finding the Third Proportional to 872,944 and 1,312,662

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Solution

The third proportional to 872,944 and 1,312,662 is: 1,973,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,944 : 1,312,662 = 1,312,662 : x
  2. Step 2: Convert to fraction form
    872,944/1,312,662 = 1,312,662/x
  3. Step 3: Cross multiply
    872,944x = 1,312,662 × 1,312,662
  4. Step 4: Simplify right side
    872,944x = 1,723,081,526,244
  5. Step 5: Solve for x
    x = 1,723,081,526,244/872,944
  6. Step 6: Final answer
    x = 1,973,874.07

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