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Finding the Third Proportional to 970,873 and 1,456,310

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Solution

The third proportional to 970,873 and 1,456,310 is: 2,184,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,873 : 1,456,310 = 1,456,310 : x
  2. Step 2: Convert to fraction form
    970,873/1,456,310 = 1,456,310/x
  3. Step 3: Cross multiply
    970,873x = 1,456,310 × 1,456,310
  4. Step 4: Simplify right side
    970,873x = 2,120,838,816,100
  5. Step 5: Solve for x
    x = 2,120,838,816,100/970,873
  6. Step 6: Final answer
    x = 2,184,465.75

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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.